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Finding the Third Proportional to 75,741 and 112,147

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Solution

The third proportional to 75,741 and 112,147 is: 166,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,741 : 112,147 = 112,147 : x
  2. Step 2: Convert to fraction form
    75,741/112,147 = 112,147/x
  3. Step 3: Cross multiply
    75,741x = 112,147 × 112,147
  4. Step 4: Simplify right side
    75,741x = 12,576,949,609
  5. Step 5: Solve for x
    x = 12,576,949,609/75,741
  6. Step 6: Final answer
    x = 166,052.07

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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.