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Finding the Third Proportional to 85,842 and 126,282.75

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Solution

The third proportional to 85,842 and 126,282.75 is: 185,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842 : 126,282.75 = 126,282.75 : x
  2. Step 2: Convert to fraction form
    85,842/126,282.75 = 126,282.75/x
  3. Step 3: Cross multiply
    85,842x = 126,282.75 × 126,282.75
  4. Step 4: Simplify right side
    85,842x = 15,947,332,947.56
  5. Step 5: Solve for x
    x = 15,947,332,947.56/85,842
  6. Step 6: Final answer
    x = 185,775.41

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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.