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Finding the Third Proportional to 31,203 and 68,643

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Solution

The third proportional to 31,203 and 68,643 is: 151,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 68,643 = 68,643 : x
  2. Step 2: Convert to fraction form
    31,203/68,643 = 68,643/x
  3. Step 3: Cross multiply
    31,203x = 68,643 × 68,643
  4. Step 4: Simplify right side
    31,203x = 4,711,861,449
  5. Step 5: Solve for x
    x = 4,711,861,449/31,203
  6. Step 6: Final answer
    x = 151,006.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.