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Finding the Third Proportional to 40,714 and 87,566

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Solution

The third proportional to 40,714 and 87,566 is: 188,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,714 : 87,566 = 87,566 : x
  2. Step 2: Convert to fraction form
    40,714/87,566 = 87,566/x
  3. Step 3: Cross multiply
    40,714x = 87,566 × 87,566
  4. Step 4: Simplify right side
    40,714x = 7,667,804,356
  5. Step 5: Solve for x
    x = 7,667,804,356/40,714
  6. Step 6: Final answer
    x = 188,333.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.