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Finding the Third Proportional to 55,814 and 86,327

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Solution

The third proportional to 55,814 and 86,327 is: 133,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,814 : 86,327 = 86,327 : x
  2. Step 2: Convert to fraction form
    55,814/86,327 = 86,327/x
  3. Step 3: Cross multiply
    55,814x = 86,327 × 86,327
  4. Step 4: Simplify right side
    55,814x = 7,452,350,929
  5. Step 5: Solve for x
    x = 7,452,350,929/55,814
  6. Step 6: Final answer
    x = 133,521.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.