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Finding the Third Proportional to 45,585 and 99,493

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Solution

The third proportional to 45,585 and 99,493 is: 217,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,585 : 99,493 = 99,493 : x
  2. Step 2: Convert to fraction form
    45,585/99,493 = 99,493/x
  3. Step 3: Cross multiply
    45,585x = 99,493 × 99,493
  4. Step 4: Simplify right side
    45,585x = 9,898,857,049
  5. Step 5: Solve for x
    x = 9,898,857,049/45,585
  6. Step 6: Final answer
    x = 217,151.63

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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.