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Finding the Third Proportional to 63,982 and 132,062

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Solution

The third proportional to 63,982 and 132,062 is: 272,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,982 : 132,062 = 132,062 : x
  2. Step 2: Convert to fraction form
    63,982/132,062 = 132,062/x
  3. Step 3: Cross multiply
    63,982x = 132,062 × 132,062
  4. Step 4: Simplify right side
    63,982x = 17,440,371,844
  5. Step 5: Solve for x
    x = 17,440,371,844/63,982
  6. Step 6: Final answer
    x = 272,582.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.