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Finding the Third Proportional to 75,462 and 158,267

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Solution

The third proportional to 75,462 and 158,267 is: 331,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462 : 158,267 = 158,267 : x
  2. Step 2: Convert to fraction form
    75,462/158,267 = 158,267/x
  3. Step 3: Cross multiply
    75,462x = 158,267 × 158,267
  4. Step 4: Simplify right side
    75,462x = 25,048,443,289
  5. Step 5: Solve for x
    x = 25,048,443,289/75,462
  6. Step 6: Final answer
    x = 331,934.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.