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Finding the Third Proportional to 62,828 and 132,928

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Solution

The third proportional to 62,828 and 132,928 is: 281,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,828 : 132,928 = 132,928 : x
  2. Step 2: Convert to fraction form
    62,828/132,928 = 132,928/x
  3. Step 3: Cross multiply
    62,828x = 132,928 × 132,928
  4. Step 4: Simplify right side
    62,828x = 17,669,853,184
  5. Step 5: Solve for x
    x = 17,669,853,184/62,828
  6. Step 6: Final answer
    x = 281,241.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.