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Finding the Third Proportional to 54,524 and 77,192

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Solution

The third proportional to 54,524 and 77,192 is: 109,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524 : 77,192 = 77,192 : x
  2. Step 2: Convert to fraction form
    54,524/77,192 = 77,192/x
  3. Step 3: Cross multiply
    54,524x = 77,192 × 77,192
  4. Step 4: Simplify right side
    54,524x = 5,958,604,864
  5. Step 5: Solve for x
    x = 5,958,604,864/54,524
  6. Step 6: Final answer
    x = 109,284.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.