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Finding the Third Proportional to 83,533 and 175,267

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Solution

The third proportional to 83,533 and 175,267 is: 367,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533 : 175,267 = 175,267 : x
  2. Step 2: Convert to fraction form
    83,533/175,267 = 175,267/x
  3. Step 3: Cross multiply
    83,533x = 175,267 × 175,267
  4. Step 4: Simplify right side
    83,533x = 30,718,521,289
  5. Step 5: Solve for x
    x = 30,718,521,289/83,533
  6. Step 6: Final answer
    x = 367,741.15

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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.