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Finding the Third Proportional to 71,737.31 and 157,110.47

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Solution

The third proportional to 71,737.31 and 157,110.47 is: 344,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,737.31 : 157,110.47 = 157,110.47 : x
  2. Step 2: Convert to fraction form
    71,737.31/157,110.47 = 157,110.47/x
  3. Step 3: Cross multiply
    71,737.31x = 157,110.47 × 157,110.47
  4. Step 4: Simplify right side
    71,737.31x = 24,683,699,390.84
  5. Step 5: Solve for x
    x = 24,683,699,390.84/71,737.31
  6. Step 6: Final answer
    x = 344,084.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.