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Finding the Third Proportional to 63,942 and 140,574

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Solution

The third proportional to 63,942 and 140,574 is: 309,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,942 : 140,574 = 140,574 : x
  2. Step 2: Convert to fraction form
    63,942/140,574 = 140,574/x
  3. Step 3: Cross multiply
    63,942x = 140,574 × 140,574
  4. Step 4: Simplify right side
    63,942x = 19,761,049,476
  5. Step 5: Solve for x
    x = 19,761,049,476/63,942
  6. Step 6: Final answer
    x = 309,046.47

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