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Finding the Third Proportional to 68,264 and 103,350

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Solution

The third proportional to 68,264 and 103,350 is: 156,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 103,350 = 103,350 : x
  2. Step 2: Convert to fraction form
    68,264/103,350 = 103,350/x
  3. Step 3: Cross multiply
    68,264x = 103,350 × 103,350
  4. Step 4: Simplify right side
    68,264x = 10,681,222,500
  5. Step 5: Solve for x
    x = 10,681,222,500/68,264
  6. Step 6: Final answer
    x = 156,469.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.