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Finding the Third Proportional to 131,145.75 and 192,414.38

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Solution

The third proportional to 131,145.75 and 192,414.38 is: 282,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,145.75 : 192,414.38 = 192,414.38 : x
  2. Step 2: Convert to fraction form
    131,145.75/192,414.38 = 192,414.38/x
  3. Step 3: Cross multiply
    131,145.75x = 192,414.38 × 192,414.38
  4. Step 4: Simplify right side
    131,145.75x = 37,023,291,706.64
  5. Step 5: Solve for x
    x = 37,023,291,706.64/131,145.75
  6. Step 6: Final answer
    x = 282,306.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.