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Finding the Third Proportional to 71,466 and 156,756

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Solution

The third proportional to 71,466 and 156,756 is: 343,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466 : 156,756 = 156,756 : x
  2. Step 2: Convert to fraction form
    71,466/156,756 = 156,756/x
  3. Step 3: Cross multiply
    71,466x = 156,756 × 156,756
  4. Step 4: Simplify right side
    71,466x = 24,572,443,536
  5. Step 5: Solve for x
    x = 24,572,443,536/71,466
  6. Step 6: Final answer
    x = 343,834.04

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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.