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Finding the Third Proportional to 87,754.50 and 136,129.50

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Solution

The third proportional to 87,754.50 and 136,129.50 is: 211,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,754.50 : 136,129.50 = 136,129.50 : x
  2. Step 2: Convert to fraction form
    87,754.50/136,129.50 = 136,129.50/x
  3. Step 3: Cross multiply
    87,754.50x = 136,129.50 × 136,129.50
  4. Step 4: Simplify right side
    87,754.50x = 18,531,240,770.25
  5. Step 5: Solve for x
    x = 18,531,240,770.25/87,754.50
  6. Step 6: Final answer
    x = 211,171.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.