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Finding the Third Proportional to 82,616 and 124,698

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Solution

The third proportional to 82,616 and 124,698 is: 188,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616 : 124,698 = 124,698 : x
  2. Step 2: Convert to fraction form
    82,616/124,698 = 124,698/x
  3. Step 3: Cross multiply
    82,616x = 124,698 × 124,698
  4. Step 4: Simplify right side
    82,616x = 15,549,591,204
  5. Step 5: Solve for x
    x = 15,549,591,204/82,616
  6. Step 6: Final answer
    x = 188,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.