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Finding the Third Proportional to 41,410 and 87,744

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Solution

The third proportional to 41,410 and 87,744 is: 185,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,410 : 87,744 = 87,744 : x
  2. Step 2: Convert to fraction form
    41,410/87,744 = 87,744/x
  3. Step 3: Cross multiply
    41,410x = 87,744 × 87,744
  4. Step 4: Simplify right side
    41,410x = 7,699,009,536
  5. Step 5: Solve for x
    x = 7,699,009,536/41,410
  6. Step 6: Final answer
    x = 185,921.51

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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.