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Finding the Third Proportional to 66,112 and 102,626

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Solution

The third proportional to 66,112 and 102,626 is: 159,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,112 : 102,626 = 102,626 : x
  2. Step 2: Convert to fraction form
    66,112/102,626 = 102,626/x
  3. Step 3: Cross multiply
    66,112x = 102,626 × 102,626
  4. Step 4: Simplify right side
    66,112x = 10,532,095,876
  5. Step 5: Solve for x
    x = 10,532,095,876/66,112
  6. Step 6: Final answer
    x = 159,306.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.