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Finding the Third Proportional to 83,544 and 183,704

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Solution

The third proportional to 83,544 and 183,704 is: 403,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 183,704 = 183,704 : x
  2. Step 2: Convert to fraction form
    83,544/183,704 = 183,704/x
  3. Step 3: Cross multiply
    83,544x = 183,704 × 183,704
  4. Step 4: Simplify right side
    83,544x = 33,747,159,616
  5. Step 5: Solve for x
    x = 33,747,159,616/83,544
  6. Step 6: Final answer
    x = 403,944.74

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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.