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Finding the Third Proportional to 31,370.25 and 68,960

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Solution

The third proportional to 31,370.25 and 68,960 is: 151,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.25 : 68,960 = 68,960 : x
  2. Step 2: Convert to fraction form
    31,370.25/68,960 = 68,960/x
  3. Step 3: Cross multiply
    31,370.25x = 68,960 × 68,960
  4. Step 4: Simplify right side
    31,370.25x = 4,755,481,600
  5. Step 5: Solve for x
    x = 4,755,481,600/31,370.25
  6. Step 6: Final answer
    x = 151,592.08

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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.