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Finding the Third Proportional to 40,414 and 87,282

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Solution

The third proportional to 40,414 and 87,282 is: 188,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414 : 87,282 = 87,282 : x
  2. Step 2: Convert to fraction form
    40,414/87,282 = 87,282/x
  3. Step 3: Cross multiply
    40,414x = 87,282 × 87,282
  4. Step 4: Simplify right side
    40,414x = 7,618,147,524
  5. Step 5: Solve for x
    x = 7,618,147,524/40,414
  6. Step 6: Final answer
    x = 188,502.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.