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Finding the Third Proportional to 41,850 and 90,339

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Solution

The third proportional to 41,850 and 90,339 is: 195,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 90,339 = 90,339 : x
  2. Step 2: Convert to fraction form
    41,850/90,339 = 90,339/x
  3. Step 3: Cross multiply
    41,850x = 90,339 × 90,339
  4. Step 4: Simplify right side
    41,850x = 8,161,134,921
  5. Step 5: Solve for x
    x = 8,161,134,921/41,850
  6. Step 6: Final answer
    x = 195,009.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.