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Finding the Third Proportional to 41,660 and 90,714

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Solution

The third proportional to 41,660 and 90,714 is: 197,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,660 : 90,714 = 90,714 : x
  2. Step 2: Convert to fraction form
    41,660/90,714 = 90,714/x
  3. Step 3: Cross multiply
    41,660x = 90,714 × 90,714
  4. Step 4: Simplify right side
    41,660x = 8,229,029,796
  5. Step 5: Solve for x
    x = 8,229,029,796/41,660
  6. Step 6: Final answer
    x = 197,528.32

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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.