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Finding the Third Proportional to 43,001 and 101,182

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Solution

The third proportional to 43,001 and 101,182 is: 238,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,001 : 101,182 = 101,182 : x
  2. Step 2: Convert to fraction form
    43,001/101,182 = 101,182/x
  3. Step 3: Cross multiply
    43,001x = 101,182 × 101,182
  4. Step 4: Simplify right side
    43,001x = 10,237,797,124
  5. Step 5: Solve for x
    x = 10,237,797,124/43,001
  6. Step 6: Final answer
    x = 238,082.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.