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Finding the Third Proportional to 41,264 and 87,712

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Solution

The third proportional to 41,264 and 87,712 is: 186,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,264 : 87,712 = 87,712 : x
  2. Step 2: Convert to fraction form
    41,264/87,712 = 87,712/x
  3. Step 3: Cross multiply
    41,264x = 87,712 × 87,712
  4. Step 4: Simplify right side
    41,264x = 7,693,394,944
  5. Step 5: Solve for x
    x = 7,693,394,944/41,264
  6. Step 6: Final answer
    x = 186,443.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.