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Finding the Third Proportional to 71,350 and 110,632

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Solution

The third proportional to 71,350 and 110,632 is: 171,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,350 : 110,632 = 110,632 : x
  2. Step 2: Convert to fraction form
    71,350/110,632 = 110,632/x
  3. Step 3: Cross multiply
    71,350x = 110,632 × 110,632
  4. Step 4: Simplify right side
    71,350x = 12,239,439,424
  5. Step 5: Solve for x
    x = 12,239,439,424/71,350
  6. Step 6: Final answer
    x = 171,540.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.