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Finding the Third Proportional to 40,166 and 87,482

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Solution

The third proportional to 40,166 and 87,482 is: 190,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,166 : 87,482 = 87,482 : x
  2. Step 2: Convert to fraction form
    40,166/87,482 = 87,482/x
  3. Step 3: Cross multiply
    40,166x = 87,482 × 87,482
  4. Step 4: Simplify right side
    40,166x = 7,653,100,324
  5. Step 5: Solve for x
    x = 7,653,100,324/40,166
  6. Step 6: Final answer
    x = 190,536.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.