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Finding the Third Proportional to 31,446 and 68,724

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Solution

The third proportional to 31,446 and 68,724 is: 150,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446 : 68,724 = 68,724 : x
  2. Step 2: Convert to fraction form
    31,446/68,724 = 68,724/x
  3. Step 3: Cross multiply
    31,446x = 68,724 × 68,724
  4. Step 4: Simplify right side
    31,446x = 4,722,988,176
  5. Step 5: Solve for x
    x = 4,722,988,176/31,446
  6. Step 6: Final answer
    x = 150,193.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.