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Finding the Third Proportional to 67,399 and 103,244

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Solution

The third proportional to 67,399 and 103,244 is: 158,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,399 : 103,244 = 103,244 : x
  2. Step 2: Convert to fraction form
    67,399/103,244 = 103,244/x
  3. Step 3: Cross multiply
    67,399x = 103,244 × 103,244
  4. Step 4: Simplify right side
    67,399x = 10,659,323,536
  5. Step 5: Solve for x
    x = 10,659,323,536/67,399
  6. Step 6: Final answer
    x = 158,152.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.