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Finding the Third Proportional to 41,427 and 88,713

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Solution

The third proportional to 41,427 and 88,713 is: 189,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,427 : 88,713 = 88,713 : x
  2. Step 2: Convert to fraction form
    41,427/88,713 = 88,713/x
  3. Step 3: Cross multiply
    41,427x = 88,713 × 88,713
  4. Step 4: Simplify right side
    41,427x = 7,869,996,369
  5. Step 5: Solve for x
    x = 7,869,996,369/41,427
  6. Step 6: Final answer
    x = 189,972.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.