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Finding the Third Proportional to 120,098.25 and 186,951.38

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Solution

The third proportional to 120,098.25 and 186,951.38 is: 291,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.25 : 186,951.38 = 186,951.38 : x
  2. Step 2: Convert to fraction form
    120,098.25/186,951.38 = 186,951.38/x
  3. Step 3: Cross multiply
    120,098.25x = 186,951.38 × 186,951.38
  4. Step 4: Simplify right side
    120,098.25x = 34,950,816,614.39
  5. Step 5: Solve for x
    x = 34,950,816,614.39/120,098.25
  6. Step 6: Final answer
    x = 291,018.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.