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Finding the Third Proportional to 83,150 and 171,202

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Solution

The third proportional to 83,150 and 171,202 is: 352,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150 : 171,202 = 171,202 : x
  2. Step 2: Convert to fraction form
    83,150/171,202 = 171,202/x
  3. Step 3: Cross multiply
    83,150x = 171,202 × 171,202
  4. Step 4: Simplify right side
    83,150x = 29,310,124,804
  5. Step 5: Solve for x
    x = 29,310,124,804/83,150
  6. Step 6: Final answer
    x = 352,496.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.