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Finding the Third Proportional to 123,241.75 and 190,303.75

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Solution

The third proportional to 123,241.75 and 190,303.75 is: 293,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241.75 : 190,303.75 = 190,303.75 : x
  2. Step 2: Convert to fraction form
    123,241.75/190,303.75 = 190,303.75/x
  3. Step 3: Cross multiply
    123,241.75x = 190,303.75 × 190,303.75
  4. Step 4: Simplify right side
    123,241.75x = 36,215,517,264.06
  5. Step 5: Solve for x
    x = 36,215,517,264.06/123,241.75
  6. Step 6: Final answer
    x = 293,857.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.