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Finding the Third Proportional to 87,516 and 132,079

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Solution

The third proportional to 87,516 and 132,079 is: 199,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,516 : 132,079 = 132,079 : x
  2. Step 2: Convert to fraction form
    87,516/132,079 = 132,079/x
  3. Step 3: Cross multiply
    87,516x = 132,079 × 132,079
  4. Step 4: Simplify right side
    87,516x = 17,444,862,241
  5. Step 5: Solve for x
    x = 17,444,862,241/87,516
  6. Step 6: Final answer
    x = 199,333.40

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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.