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Finding the Third Proportional to 114,882.75 and 186,508.13

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Solution

The third proportional to 114,882.75 and 186,508.13 is: 302,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,882.75 : 186,508.13 = 186,508.13 : x
  2. Step 2: Convert to fraction form
    114,882.75/186,508.13 = 186,508.13/x
  3. Step 3: Cross multiply
    114,882.75x = 186,508.13 × 186,508.13
  4. Step 4: Simplify right side
    114,882.75x = 34,785,280,691.02
  5. Step 5: Solve for x
    x = 34,785,280,691.02/114,882.75
  6. Step 6: Final answer
    x = 302,789.42

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.