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Finding the Third Proportional to 71,730 and 156,771

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Solution

The third proportional to 71,730 and 156,771 is: 342,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730 : 156,771 = 156,771 : x
  2. Step 2: Convert to fraction form
    71,730/156,771 = 156,771/x
  3. Step 3: Cross multiply
    71,730x = 156,771 × 156,771
  4. Step 4: Simplify right side
    71,730x = 24,577,146,441
  5. Step 5: Solve for x
    x = 24,577,146,441/71,730
  6. Step 6: Final answer
    x = 342,634.13

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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.