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Finding the Third Proportional to 83,766 and 180,654

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Solution

The third proportional to 83,766 and 180,654 is: 389,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766 : 180,654 = 180,654 : x
  2. Step 2: Convert to fraction form
    83,766/180,654 = 180,654/x
  3. Step 3: Cross multiply
    83,766x = 180,654 × 180,654
  4. Step 4: Simplify right side
    83,766x = 32,635,867,716
  5. Step 5: Solve for x
    x = 32,635,867,716/83,766
  6. Step 6: Final answer
    x = 389,607.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.