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Finding the Third Proportional to 52,618 and 80,493

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Solution

The third proportional to 52,618 and 80,493 is: 123,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,618 : 80,493 = 80,493 : x
  2. Step 2: Convert to fraction form
    52,618/80,493 = 80,493/x
  3. Step 3: Cross multiply
    52,618x = 80,493 × 80,493
  4. Step 4: Simplify right side
    52,618x = 6,479,123,049
  5. Step 5: Solve for x
    x = 6,479,123,049/52,618
  6. Step 6: Final answer
    x = 123,135.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.