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Finding the Third Proportional to 85,870.13 and 126,314.44

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Solution

The third proportional to 85,870.13 and 126,314.44 is: 185,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 126,314.44 = 126,314.44 : x
  2. Step 2: Convert to fraction form
    85,870.13/126,314.44 = 126,314.44/x
  3. Step 3: Cross multiply
    85,870.13x = 126,314.44 × 126,314.44
  4. Step 4: Simplify right side
    85,870.13x = 15,955,337,120.94
  5. Step 5: Solve for x
    x = 15,955,337,120.94/85,870.13
  6. Step 6: Final answer
    x = 185,807.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.