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Finding the Third Proportional to 83,159 and 182,923

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Solution

The third proportional to 83,159 and 182,923 is: 402,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159 : 182,923 = 182,923 : x
  2. Step 2: Convert to fraction form
    83,159/182,923 = 182,923/x
  3. Step 3: Cross multiply
    83,159x = 182,923 × 182,923
  4. Step 4: Simplify right side
    83,159x = 33,460,823,929
  5. Step 5: Solve for x
    x = 33,460,823,929/83,159
  6. Step 6: Final answer
    x = 402,371.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.