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Finding the Third Proportional to 123,756.75 and 193,026.75

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Solution

The third proportional to 123,756.75 and 193,026.75 is: 301,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,756.75 : 193,026.75 = 193,026.75 : x
  2. Step 2: Convert to fraction form
    123,756.75/193,026.75 = 193,026.75/x
  3. Step 3: Cross multiply
    123,756.75x = 193,026.75 × 193,026.75
  4. Step 4: Simplify right side
    123,756.75x = 37,259,326,215.56
  5. Step 5: Solve for x
    x = 37,259,326,215.56/123,756.75
  6. Step 6: Final answer
    x = 301,069.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.