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Finding the Third Proportional to 81,684 and 110,853

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Solution

The third proportional to 81,684 and 110,853 is: 150,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 110,853 = 110,853 : x
  2. Step 2: Convert to fraction form
    81,684/110,853 = 110,853/x
  3. Step 3: Cross multiply
    81,684x = 110,853 × 110,853
  4. Step 4: Simplify right side
    81,684x = 12,288,387,609
  5. Step 5: Solve for x
    x = 12,288,387,609/81,684
  6. Step 6: Final answer
    x = 150,438.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.