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Finding the Third Proportional to 31,216.22 and 67,734.56

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Solution

The third proportional to 31,216.22 and 67,734.56 is: 146,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.22 : 67,734.56 = 67,734.56 : x
  2. Step 2: Convert to fraction form
    31,216.22/67,734.56 = 67,734.56/x
  3. Step 3: Cross multiply
    31,216.22x = 67,734.56 × 67,734.56
  4. Step 4: Simplify right side
    31,216.22x = 4,587,970,957.07
  5. Step 5: Solve for x
    x = 4,587,970,957.07/31,216.22
  6. Step 6: Final answer
    x = 146,973.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.