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Finding the Third Proportional to 31,772 and 68,775

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Solution

The third proportional to 31,772 and 68,775 is: 148,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772 : 68,775 = 68,775 : x
  2. Step 2: Convert to fraction form
    31,772/68,775 = 68,775/x
  3. Step 3: Cross multiply
    31,772x = 68,775 × 68,775
  4. Step 4: Simplify right side
    31,772x = 4,730,000,625
  5. Step 5: Solve for x
    x = 4,730,000,625/31,772
  6. Step 6: Final answer
    x = 148,873.24

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Why These Related Problems?

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