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Finding the Third Proportional to 83,116 and 182,837

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Solution

The third proportional to 83,116 and 182,837 is: 402,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116 : 182,837 = 182,837 : x
  2. Step 2: Convert to fraction form
    83,116/182,837 = 182,837/x
  3. Step 3: Cross multiply
    83,116x = 182,837 × 182,837
  4. Step 4: Simplify right side
    83,116x = 33,429,368,569
  5. Step 5: Solve for x
    x = 33,429,368,569/83,116
  6. Step 6: Final answer
    x = 402,201.36

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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.