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Finding the Third Proportional to 71,534 and 155,380

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Solution

The third proportional to 71,534 and 155,380 is: 337,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534 : 155,380 = 155,380 : x
  2. Step 2: Convert to fraction form
    71,534/155,380 = 155,380/x
  3. Step 3: Cross multiply
    71,534x = 155,380 × 155,380
  4. Step 4: Simplify right side
    71,534x = 24,142,944,400
  5. Step 5: Solve for x
    x = 24,142,944,400/71,534
  6. Step 6: Final answer
    x = 337,503.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.