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Finding the Third Proportional to 41,524 and 90,841

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Solution

The third proportional to 41,524 and 90,841 is: 198,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,524 : 90,841 = 90,841 : x
  2. Step 2: Convert to fraction form
    41,524/90,841 = 90,841/x
  3. Step 3: Cross multiply
    41,524x = 90,841 × 90,841
  4. Step 4: Simplify right side
    41,524x = 8,252,087,281
  5. Step 5: Solve for x
    x = 8,252,087,281/41,524
  6. Step 6: Final answer
    x = 198,730.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.