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Finding the Third Proportional to 107,414 and 165,981

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Solution

The third proportional to 107,414 and 165,981 is: 256,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,414 : 165,981 = 165,981 : x
  2. Step 2: Convert to fraction form
    107,414/165,981 = 165,981/x
  3. Step 3: Cross multiply
    107,414x = 165,981 × 165,981
  4. Step 4: Simplify right side
    107,414x = 27,549,692,361
  5. Step 5: Solve for x
    x = 27,549,692,361/107,414
  6. Step 6: Final answer
    x = 256,481.39

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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.