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Finding the Third Proportional to 31,295.25 and 65,179.13

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Solution

The third proportional to 31,295.25 and 65,179.13 is: 135,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.25 : 65,179.13 = 65,179.13 : x
  2. Step 2: Convert to fraction form
    31,295.25/65,179.13 = 65,179.13/x
  3. Step 3: Cross multiply
    31,295.25x = 65,179.13 × 65,179.13
  4. Step 4: Simplify right side
    31,295.25x = 4,248,318,335.77
  5. Step 5: Solve for x
    x = 4,248,318,335.77/31,295.25
  6. Step 6: Final answer
    x = 135,749.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.