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Finding the Third Proportional to 54,831 and 119,577.75

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Solution

The third proportional to 54,831 and 119,577.75 is: 260,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831 : 119,577.75 = 119,577.75 : x
  2. Step 2: Convert to fraction form
    54,831/119,577.75 = 119,577.75/x
  3. Step 3: Cross multiply
    54,831x = 119,577.75 × 119,577.75
  4. Step 4: Simplify right side
    54,831x = 14,298,838,295.06
  5. Step 5: Solve for x
    x = 14,298,838,295.06/54,831
  6. Step 6: Final answer
    x = 260,780.18

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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.