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Finding the Third Proportional to 101,331 and 157,737.38

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Solution

The third proportional to 101,331 and 157,737.38 is: 245,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331 : 157,737.38 = 157,737.38 : x
  2. Step 2: Convert to fraction form
    101,331/157,737.38 = 157,737.38/x
  3. Step 3: Cross multiply
    101,331x = 157,737.38 × 157,737.38
  4. Step 4: Simplify right side
    101,331x = 24,881,079,471.89
  5. Step 5: Solve for x
    x = 24,881,079,471.89/101,331
  6. Step 6: Final answer
    x = 245,542.62

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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.