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Finding the Third Proportional to 83,796 and 180,711

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Solution

The third proportional to 83,796 and 180,711 is: 389,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796 : 180,711 = 180,711 : x
  2. Step 2: Convert to fraction form
    83,796/180,711 = 180,711/x
  3. Step 3: Cross multiply
    83,796x = 180,711 × 180,711
  4. Step 4: Simplify right side
    83,796x = 32,656,465,521
  5. Step 5: Solve for x
    x = 32,656,465,521/83,796
  6. Step 6: Final answer
    x = 389,713.89

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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.