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Finding the Third Proportional to 87,512 and 132,069.50

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Solution

The third proportional to 87,512 and 132,069.50 is: 199,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,512 : 132,069.50 = 132,069.50 : x
  2. Step 2: Convert to fraction form
    87,512/132,069.50 = 132,069.50/x
  3. Step 3: Cross multiply
    87,512x = 132,069.50 × 132,069.50
  4. Step 4: Simplify right side
    87,512x = 17,442,352,830.25
  5. Step 5: Solve for x
    x = 17,442,352,830.25/87,512
  6. Step 6: Final answer
    x = 199,313.84

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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.