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Finding the Third Proportional to 31,250 and 67,117

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Solution

The third proportional to 31,250 and 67,117 is: 144,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250 : 67,117 = 67,117 : x
  2. Step 2: Convert to fraction form
    31,250/67,117 = 67,117/x
  3. Step 3: Cross multiply
    31,250x = 67,117 × 67,117
  4. Step 4: Simplify right side
    31,250x = 4,504,691,689
  5. Step 5: Solve for x
    x = 4,504,691,689/31,250
  6. Step 6: Final answer
    x = 144,150.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.