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Finding the Third Proportional to 62,982 and 96,642

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Solution

The third proportional to 62,982 and 96,642 is: 148,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982 : 96,642 = 96,642 : x
  2. Step 2: Convert to fraction form
    62,982/96,642 = 96,642/x
  3. Step 3: Cross multiply
    62,982x = 96,642 × 96,642
  4. Step 4: Simplify right side
    62,982x = 9,339,676,164
  5. Step 5: Solve for x
    x = 9,339,676,164/62,982
  6. Step 6: Final answer
    x = 148,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.