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Finding the Third Proportional to 81,214.88 and 125,515.13

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Solution

The third proportional to 81,214.88 and 125,515.13 is: 193,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,214.88 : 125,515.13 = 125,515.13 : x
  2. Step 2: Convert to fraction form
    81,214.88/125,515.13 = 125,515.13/x
  3. Step 3: Cross multiply
    81,214.88x = 125,515.13 × 125,515.13
  4. Step 4: Simplify right side
    81,214.88x = 15,754,046,603.77
  5. Step 5: Solve for x
    x = 15,754,046,603.77/81,214.88
  6. Step 6: Final answer
    x = 193,979.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.