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Finding the Third Proportional to 83,884 and 177,520

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Solution

The third proportional to 83,884 and 177,520 is: 375,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884 : 177,520 = 177,520 : x
  2. Step 2: Convert to fraction form
    83,884/177,520 = 177,520/x
  3. Step 3: Cross multiply
    83,884x = 177,520 × 177,520
  4. Step 4: Simplify right side
    83,884x = 31,513,350,400
  5. Step 5: Solve for x
    x = 31,513,350,400/83,884
  6. Step 6: Final answer
    x = 375,677.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.