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Finding the Third Proportional to 72,855 and 98,426.25

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Solution

The third proportional to 72,855 and 98,426.25 is: 132,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855 : 98,426.25 = 98,426.25 : x
  2. Step 2: Convert to fraction form
    72,855/98,426.25 = 98,426.25/x
  3. Step 3: Cross multiply
    72,855x = 98,426.25 × 98,426.25
  4. Step 4: Simplify right side
    72,855x = 9,687,726,689.06
  5. Step 5: Solve for x
    x = 9,687,726,689.06/72,855
  6. Step 6: Final answer
    x = 132,972.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.