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Finding the Third Proportional to 119,694 and 182,028

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Solution

The third proportional to 119,694 and 182,028 is: 276,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,694 : 182,028 = 182,028 : x
  2. Step 2: Convert to fraction form
    119,694/182,028 = 182,028/x
  3. Step 3: Cross multiply
    119,694x = 182,028 × 182,028
  4. Step 4: Simplify right side
    119,694x = 33,134,192,784
  5. Step 5: Solve for x
    x = 33,134,192,784/119,694
  6. Step 6: Final answer
    x = 276,824.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.