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Finding the Third Proportional to 31,718.25 and 68,902.31

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Solution

The third proportional to 31,718.25 and 68,902.31 is: 149,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.25 : 68,902.31 = 68,902.31 : x
  2. Step 2: Convert to fraction form
    31,718.25/68,902.31 = 68,902.31/x
  3. Step 3: Cross multiply
    31,718.25x = 68,902.31 × 68,902.31
  4. Step 4: Simplify right side
    31,718.25x = 4,747,528,667.85
  5. Step 5: Solve for x
    x = 4,747,528,667.85/31,718.25
  6. Step 6: Final answer
    x = 149,678.14

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