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Finding the Third Proportional to 33,099 and 67,710

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Solution

The third proportional to 33,099 and 67,710 is: 138,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099 : 67,710 = 67,710 : x
  2. Step 2: Convert to fraction form
    33,099/67,710 = 67,710/x
  3. Step 3: Cross multiply
    33,099x = 67,710 × 67,710
  4. Step 4: Simplify right side
    33,099x = 4,584,644,100
  5. Step 5: Solve for x
    x = 4,584,644,100/33,099
  6. Step 6: Final answer
    x = 138,513.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.