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Finding the Third Proportional to 71,569 and 155,434

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Solution

The third proportional to 71,569 and 155,434 is: 337,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569 : 155,434 = 155,434 : x
  2. Step 2: Convert to fraction form
    71,569/155,434 = 155,434/x
  3. Step 3: Cross multiply
    71,569x = 155,434 × 155,434
  4. Step 4: Simplify right side
    71,569x = 24,159,728,356
  5. Step 5: Solve for x
    x = 24,159,728,356/71,569
  6. Step 6: Final answer
    x = 337,572.53

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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.