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Finding the Third Proportional to 75,734 and 161,182

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Solution

The third proportional to 75,734 and 161,182 is: 343,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,734 : 161,182 = 161,182 : x
  2. Step 2: Convert to fraction form
    75,734/161,182 = 161,182/x
  3. Step 3: Cross multiply
    75,734x = 161,182 × 161,182
  4. Step 4: Simplify right side
    75,734x = 25,979,637,124
  5. Step 5: Solve for x
    x = 25,979,637,124/75,734
  6. Step 6: Final answer
    x = 343,037.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.