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Finding the Third Proportional to 87,423 and 132,178

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Solution

The third proportional to 87,423 and 132,178 is: 199,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,423 : 132,178 = 132,178 : x
  2. Step 2: Convert to fraction form
    87,423/132,178 = 132,178/x
  3. Step 3: Cross multiply
    87,423x = 132,178 × 132,178
  4. Step 4: Simplify right side
    87,423x = 17,471,023,684
  5. Step 5: Solve for x
    x = 17,471,023,684/87,423
  6. Step 6: Final answer
    x = 199,844.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.