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Finding the Third Proportional to 75,171 and 160,350

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Solution

The third proportional to 75,171 and 160,350 is: 342,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 160,350 = 160,350 : x
  2. Step 2: Convert to fraction form
    75,171/160,350 = 160,350/x
  3. Step 3: Cross multiply
    75,171x = 160,350 × 160,350
  4. Step 4: Simplify right side
    75,171x = 25,712,122,500
  5. Step 5: Solve for x
    x = 25,712,122,500/75,171
  6. Step 6: Final answer
    x = 342,048.43

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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.