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Finding the Third Proportional to 41,074 and 86,440

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Solution

The third proportional to 41,074 and 86,440 is: 181,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,074 : 86,440 = 86,440 : x
  2. Step 2: Convert to fraction form
    41,074/86,440 = 86,440/x
  3. Step 3: Cross multiply
    41,074x = 86,440 × 86,440
  4. Step 4: Simplify right side
    41,074x = 7,471,873,600
  5. Step 5: Solve for x
    x = 7,471,873,600/41,074
  6. Step 6: Final answer
    x = 181,912.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.