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Finding the Third Proportional to 83,947 and 182,663

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Solution

The third proportional to 83,947 and 182,663 is: 397,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,947 : 182,663 = 182,663 : x
  2. Step 2: Convert to fraction form
    83,947/182,663 = 182,663/x
  3. Step 3: Cross multiply
    83,947x = 182,663 × 182,663
  4. Step 4: Simplify right side
    83,947x = 33,365,771,569
  5. Step 5: Solve for x
    x = 33,365,771,569/83,947
  6. Step 6: Final answer
    x = 397,462.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.