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Finding the Third Proportional to 68,104 and 95,350

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Solution

The third proportional to 68,104 and 95,350 is: 133,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104 : 95,350 = 95,350 : x
  2. Step 2: Convert to fraction form
    68,104/95,350 = 95,350/x
  3. Step 3: Cross multiply
    68,104x = 95,350 × 95,350
  4. Step 4: Simplify right side
    68,104x = 9,091,622,500
  5. Step 5: Solve for x
    x = 9,091,622,500/68,104
  6. Step 6: Final answer
    x = 133,496.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.