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Finding the Third Proportional to 54,711 and 119,007.75

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Solution

The third proportional to 54,711 and 119,007.75 is: 258,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711 : 119,007.75 = 119,007.75 : x
  2. Step 2: Convert to fraction form
    54,711/119,007.75 = 119,007.75/x
  3. Step 3: Cross multiply
    54,711x = 119,007.75 × 119,007.75
  4. Step 4: Simplify right side
    54,711x = 14,162,844,560.06
  5. Step 5: Solve for x
    x = 14,162,844,560.06/54,711
  6. Step 6: Final answer
    x = 258,866.49

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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.