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Finding the Third Proportional to 83,162.25 and 182,421

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Solution

The third proportional to 83,162.25 and 182,421 is: 400,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.25 : 182,421 = 182,421 : x
  2. Step 2: Convert to fraction form
    83,162.25/182,421 = 182,421/x
  3. Step 3: Cross multiply
    83,162.25x = 182,421 × 182,421
  4. Step 4: Simplify right side
    83,162.25x = 33,277,421,241
  5. Step 5: Solve for x
    x = 33,277,421,241/83,162.25
  6. Step 6: Final answer
    x = 400,150.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.