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Finding the Third Proportional to 41,712 and 98,422.69

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Solution

The third proportional to 41,712 and 98,422.69 is: 232,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712 : 98,422.69 = 98,422.69 : x
  2. Step 2: Convert to fraction form
    41,712/98,422.69 = 98,422.69/x
  3. Step 3: Cross multiply
    41,712x = 98,422.69 × 98,422.69
  4. Step 4: Simplify right side
    41,712x = 9,687,025,414.72
  5. Step 5: Solve for x
    x = 9,687,025,414.72/41,712
  6. Step 6: Final answer
    x = 232,235.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.