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Finding the Third Proportional to 91,086 and 127,374

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Solution

The third proportional to 91,086 and 127,374 is: 178,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086 : 127,374 = 127,374 : x
  2. Step 2: Convert to fraction form
    91,086/127,374 = 127,374/x
  3. Step 3: Cross multiply
    91,086x = 127,374 × 127,374
  4. Step 4: Simplify right side
    91,086x = 16,224,135,876
  5. Step 5: Solve for x
    x = 16,224,135,876/91,086
  6. Step 6: Final answer
    x = 178,118.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.