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Finding the Third Proportional to 41,922 and 88,686

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Solution

The third proportional to 41,922 and 88,686 is: 187,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 88,686 = 88,686 : x
  2. Step 2: Convert to fraction form
    41,922/88,686 = 88,686/x
  3. Step 3: Cross multiply
    41,922x = 88,686 × 88,686
  4. Step 4: Simplify right side
    41,922x = 7,865,206,596
  5. Step 5: Solve for x
    x = 7,865,206,596/41,922
  6. Step 6: Final answer
    x = 187,615.25

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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.