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Finding the Third Proportional to 91,714 and 186,372

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Solution

The third proportional to 91,714 and 186,372 is: 378,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,714 : 186,372 = 186,372 : x
  2. Step 2: Convert to fraction form
    91,714/186,372 = 186,372/x
  3. Step 3: Cross multiply
    91,714x = 186,372 × 186,372
  4. Step 4: Simplify right side
    91,714x = 34,734,522,384
  5. Step 5: Solve for x
    x = 34,734,522,384/91,714
  6. Step 6: Final answer
    x = 378,726.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.