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Finding the Third Proportional to 55,514 and 84,651

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Solution

The third proportional to 55,514 and 84,651 is: 129,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 84,651 = 84,651 : x
  2. Step 2: Convert to fraction form
    55,514/84,651 = 84,651/x
  3. Step 3: Cross multiply
    55,514x = 84,651 × 84,651
  4. Step 4: Simplify right side
    55,514x = 7,165,791,801
  5. Step 5: Solve for x
    x = 7,165,791,801/55,514
  6. Step 6: Final answer
    x = 129,080.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.