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Finding the Third Proportional to 62,258 and 96,561

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Solution

The third proportional to 62,258 and 96,561 is: 149,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,258 : 96,561 = 96,561 : x
  2. Step 2: Convert to fraction form
    62,258/96,561 = 96,561/x
  3. Step 3: Cross multiply
    62,258x = 96,561 × 96,561
  4. Step 4: Simplify right side
    62,258x = 9,324,026,721
  5. Step 5: Solve for x
    x = 9,324,026,721/62,258
  6. Step 6: Final answer
    x = 149,764.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.