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Finding the Third Proportional to 40,718.25 and 88,398

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Solution

The third proportional to 40,718.25 and 88,398 is: 191,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,718.25 : 88,398 = 88,398 : x
  2. Step 2: Convert to fraction form
    40,718.25/88,398 = 88,398/x
  3. Step 3: Cross multiply
    40,718.25x = 88,398 × 88,398
  4. Step 4: Simplify right side
    40,718.25x = 7,814,206,404
  5. Step 5: Solve for x
    x = 7,814,206,404/40,718.25
  6. Step 6: Final answer
    x = 191,909.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.