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Finding the Third Proportional to 31,672.69 and 68,254.88

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Solution

The third proportional to 31,672.69 and 68,254.88 is: 147,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.69 : 68,254.88 = 68,254.88 : x
  2. Step 2: Convert to fraction form
    31,672.69/68,254.88 = 68,254.88/x
  3. Step 3: Cross multiply
    31,672.69x = 68,254.88 × 68,254.88
  4. Step 4: Simplify right side
    31,672.69x = 4,658,727,961.27
  5. Step 5: Solve for x
    x = 4,658,727,961.27/31,672.69
  6. Step 6: Final answer
    x = 147,089.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.