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Finding the Third Proportional to 86,115.38 and 125,770.88

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Solution

The third proportional to 86,115.38 and 125,770.88 is: 183,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,115.38 : 125,770.88 = 125,770.88 : x
  2. Step 2: Convert to fraction form
    86,115.38/125,770.88 = 125,770.88/x
  3. Step 3: Cross multiply
    86,115.38x = 125,770.88 × 125,770.88
  4. Step 4: Simplify right side
    86,115.38x = 15,818,312,998.27
  5. Step 5: Solve for x
    x = 15,818,312,998.27/86,115.38
  6. Step 6: Final answer
    x = 183,687.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.