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Finding the Third Proportional to 86,581.75 and 129,524.13

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Solution

The third proportional to 86,581.75 and 129,524.13 is: 193,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,581.75 : 129,524.13 = 129,524.13 : x
  2. Step 2: Convert to fraction form
    86,581.75/129,524.13 = 129,524.13/x
  3. Step 3: Cross multiply
    86,581.75x = 129,524.13 × 129,524.13
  4. Step 4: Simplify right side
    86,581.75x = 16,776,498,957.02
  5. Step 5: Solve for x
    x = 16,776,498,957.02/86,581.75
  6. Step 6: Final answer
    x = 193,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.