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Finding the Third Proportional to 87,814 and 132,495

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Solution

The third proportional to 87,814 and 132,495 is: 199,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,814 : 132,495 = 132,495 : x
  2. Step 2: Convert to fraction form
    87,814/132,495 = 132,495/x
  3. Step 3: Cross multiply
    87,814x = 132,495 × 132,495
  4. Step 4: Simplify right side
    87,814x = 17,554,925,025
  5. Step 5: Solve for x
    x = 17,554,925,025/87,814
  6. Step 6: Final answer
    x = 199,910.32

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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.