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Finding the Third Proportional to 123,150.38 and 157,357.13

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Solution

The third proportional to 123,150.38 and 157,357.13 is: 201,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,150.38 : 157,357.13 = 157,357.13 : x
  2. Step 2: Convert to fraction form
    123,150.38/157,357.13 = 157,357.13/x
  3. Step 3: Cross multiply
    123,150.38x = 157,357.13 × 157,357.13
  4. Step 4: Simplify right side
    123,150.38x = 24,761,264,788.27
  5. Step 5: Solve for x
    x = 24,761,264,788.27/123,150.38
  6. Step 6: Final answer
    x = 201,065.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.