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Finding the Third Proportional to 65,473.31 and 98,187.19

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Solution

The third proportional to 65,473.31 and 98,187.19 is: 147,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473.31 : 98,187.19 = 98,187.19 : x
  2. Step 2: Convert to fraction form
    65,473.31/98,187.19 = 98,187.19/x
  3. Step 3: Cross multiply
    65,473.31x = 98,187.19 × 98,187.19
  4. Step 4: Simplify right side
    65,473.31x = 9,640,723,789.16
  5. Step 5: Solve for x
    x = 9,640,723,789.16/65,473.31
  6. Step 6: Final answer
    x = 147,246.62

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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.