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Finding the Third Proportional to 57,274 and 86,017

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Solution

The third proportional to 57,274 and 86,017 is: 129,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274 : 86,017 = 86,017 : x
  2. Step 2: Convert to fraction form
    57,274/86,017 = 86,017/x
  3. Step 3: Cross multiply
    57,274x = 86,017 × 86,017
  4. Step 4: Simplify right side
    57,274x = 7,398,924,289
  5. Step 5: Solve for x
    x = 7,398,924,289/57,274
  6. Step 6: Final answer
    x = 129,184.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.