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Finding the Third Proportional to 62,258 and 96,562

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Solution

The third proportional to 62,258 and 96,562 is: 149,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,258 : 96,562 = 96,562 : x
  2. Step 2: Convert to fraction form
    62,258/96,562 = 96,562/x
  3. Step 3: Cross multiply
    62,258x = 96,562 × 96,562
  4. Step 4: Simplify right side
    62,258x = 9,324,219,844
  5. Step 5: Solve for x
    x = 9,324,219,844/62,258
  6. Step 6: Final answer
    x = 149,767.42

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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.