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Finding the Third Proportional to 31,246.59 and 68,746.22

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Solution

The third proportional to 31,246.59 and 68,746.22 is: 151,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246.59 : 68,746.22 = 68,746.22 : x
  2. Step 2: Convert to fraction form
    31,246.59/68,746.22 = 68,746.22/x
  3. Step 3: Cross multiply
    31,246.59x = 68,746.22 × 68,746.22
  4. Step 4: Simplify right side
    31,246.59x = 4,726,042,592.42
  5. Step 5: Solve for x
    x = 4,726,042,592.42/31,246.59
  6. Step 6: Final answer
    x = 151,249.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.