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Finding the Third Proportional to 71,981 and 157,063

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Solution

The third proportional to 71,981 and 157,063 is: 342,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,981 : 157,063 = 157,063 : x
  2. Step 2: Convert to fraction form
    71,981/157,063 = 157,063/x
  3. Step 3: Cross multiply
    71,981x = 157,063 × 157,063
  4. Step 4: Simplify right side
    71,981x = 24,668,785,969
  5. Step 5: Solve for x
    x = 24,668,785,969/71,981
  6. Step 6: Final answer
    x = 342,712.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.