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Finding the Third Proportional to 75,252 and 160,872

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Solution

The third proportional to 75,252 and 160,872 is: 343,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252 : 160,872 = 160,872 : x
  2. Step 2: Convert to fraction form
    75,252/160,872 = 160,872/x
  3. Step 3: Cross multiply
    75,252x = 160,872 × 160,872
  4. Step 4: Simplify right side
    75,252x = 25,879,800,384
  5. Step 5: Solve for x
    x = 25,879,800,384/75,252
  6. Step 6: Final answer
    x = 343,908.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.