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Finding the Third Proportional to 51,414 and 75,186

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Solution

The third proportional to 51,414 and 75,186 is: 109,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414 : 75,186 = 75,186 : x
  2. Step 2: Convert to fraction form
    51,414/75,186 = 75,186/x
  3. Step 3: Cross multiply
    51,414x = 75,186 × 75,186
  4. Step 4: Simplify right side
    51,414x = 5,652,934,596
  5. Step 5: Solve for x
    x = 5,652,934,596/51,414
  6. Step 6: Final answer
    x = 109,949.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.