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Finding the Third Proportional to 75,042 and 160,126

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Solution

The third proportional to 75,042 and 160,126 is: 341,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042 : 160,126 = 160,126 : x
  2. Step 2: Convert to fraction form
    75,042/160,126 = 160,126/x
  3. Step 3: Cross multiply
    75,042x = 160,126 × 160,126
  4. Step 4: Simplify right side
    75,042x = 25,640,335,876
  5. Step 5: Solve for x
    x = 25,640,335,876/75,042
  6. Step 6: Final answer
    x = 341,679.80

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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.