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Finding the Third Proportional to 31,373.75 and 61,171.25

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Solution

The third proportional to 31,373.75 and 61,171.25 is: 119,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.75 : 61,171.25 = 61,171.25 : x
  2. Step 2: Convert to fraction form
    31,373.75/61,171.25 = 61,171.25/x
  3. Step 3: Cross multiply
    31,373.75x = 61,171.25 × 61,171.25
  4. Step 4: Simplify right side
    31,373.75x = 3,741,921,826.56
  5. Step 5: Solve for x
    x = 3,741,921,826.56/31,373.75
  6. Step 6: Final answer
    x = 119,269.19

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.