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Finding the Third Proportional to 41,704 and 89,887

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Solution

The third proportional to 41,704 and 89,887 is: 193,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704 : 89,887 = 89,887 : x
  2. Step 2: Convert to fraction form
    41,704/89,887 = 89,887/x
  3. Step 3: Cross multiply
    41,704x = 89,887 × 89,887
  4. Step 4: Simplify right side
    41,704x = 8,079,672,769
  5. Step 5: Solve for x
    x = 8,079,672,769/41,704
  6. Step 6: Final answer
    x = 193,738.56

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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.