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Finding the Third Proportional to 62,982 and 133,074

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Solution

The third proportional to 62,982 and 133,074 is: 281,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982 : 133,074 = 133,074 : x
  2. Step 2: Convert to fraction form
    62,982/133,074 = 133,074/x
  3. Step 3: Cross multiply
    62,982x = 133,074 × 133,074
  4. Step 4: Simplify right side
    62,982x = 17,708,689,476
  5. Step 5: Solve for x
    x = 17,708,689,476/62,982
  6. Step 6: Final answer
    x = 281,170.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.