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Finding the Third Proportional to 41,413 and 90,026

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Solution

The third proportional to 41,413 and 90,026 is: 195,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,413 : 90,026 = 90,026 : x
  2. Step 2: Convert to fraction form
    41,413/90,026 = 90,026/x
  3. Step 3: Cross multiply
    41,413x = 90,026 × 90,026
  4. Step 4: Simplify right side
    41,413x = 8,104,680,676
  5. Step 5: Solve for x
    x = 8,104,680,676/41,413
  6. Step 6: Final answer
    x = 195,703.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.