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Finding the Third Proportional to 73,713.38 and 157,943.25

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Solution

The third proportional to 73,713.38 and 157,943.25 is: 338,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,713.38 : 157,943.25 = 157,943.25 : x
  2. Step 2: Convert to fraction form
    73,713.38/157,943.25 = 157,943.25/x
  3. Step 3: Cross multiply
    73,713.38x = 157,943.25 × 157,943.25
  4. Step 4: Simplify right side
    73,713.38x = 24,946,070,220.56
  5. Step 5: Solve for x
    x = 24,946,070,220.56/73,713.38
  6. Step 6: Final answer
    x = 338,419.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.