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Finding the Third Proportional to 123,153.75 and 190,167.75

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Solution

The third proportional to 123,153.75 and 190,167.75 is: 293,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153.75 : 190,167.75 = 190,167.75 : x
  2. Step 2: Convert to fraction form
    123,153.75/190,167.75 = 190,167.75/x
  3. Step 3: Cross multiply
    123,153.75x = 190,167.75 × 190,167.75
  4. Step 4: Simplify right side
    123,153.75x = 36,163,773,140.06
  5. Step 5: Solve for x
    x = 36,163,773,140.06/123,153.75
  6. Step 6: Final answer
    x = 293,647.36

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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.