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Finding the Third Proportional to 71,320 and 110,374

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Solution

The third proportional to 71,320 and 110,374 is: 170,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320 : 110,374 = 110,374 : x
  2. Step 2: Convert to fraction form
    71,320/110,374 = 110,374/x
  3. Step 3: Cross multiply
    71,320x = 110,374 × 110,374
  4. Step 4: Simplify right side
    71,320x = 12,182,419,876
  5. Step 5: Solve for x
    x = 12,182,419,876/71,320
  6. Step 6: Final answer
    x = 170,813.51

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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.