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Finding the Third Proportional to 83,124 and 182,412

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Solution

The third proportional to 83,124 and 182,412 is: 400,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124 : 182,412 = 182,412 : x
  2. Step 2: Convert to fraction form
    83,124/182,412 = 182,412/x
  3. Step 3: Cross multiply
    83,124x = 182,412 × 182,412
  4. Step 4: Simplify right side
    83,124x = 33,274,137,744
  5. Step 5: Solve for x
    x = 33,274,137,744/83,124
  6. Step 6: Final answer
    x = 400,295.19

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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.