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Finding the Third Proportional to 87,986 and 141,663

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Solution

The third proportional to 87,986 and 141,663 is: 228,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,986 : 141,663 = 141,663 : x
  2. Step 2: Convert to fraction form
    87,986/141,663 = 141,663/x
  3. Step 3: Cross multiply
    87,986x = 141,663 × 141,663
  4. Step 4: Simplify right side
    87,986x = 20,068,405,569
  5. Step 5: Solve for x
    x = 20,068,405,569/87,986
  6. Step 6: Final answer
    x = 228,086.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.