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Finding the Third Proportional to 68,830 and 101,965

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Solution

The third proportional to 68,830 and 101,965 is: 151,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,830 : 101,965 = 101,965 : x
  2. Step 2: Convert to fraction form
    68,830/101,965 = 101,965/x
  3. Step 3: Cross multiply
    68,830x = 101,965 × 101,965
  4. Step 4: Simplify right side
    68,830x = 10,396,861,225
  5. Step 5: Solve for x
    x = 10,396,861,225/68,830
  6. Step 6: Final answer
    x = 151,051.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.