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Finding the Third Proportional to 54,713.81 and 119,014.31

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Solution

The third proportional to 54,713.81 and 119,014.31 is: 258,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.81 : 119,014.31 = 119,014.31 : x
  2. Step 2: Convert to fraction form
    54,713.81/119,014.31 = 119,014.31/x
  3. Step 3: Cross multiply
    54,713.81x = 119,014.31 × 119,014.31
  4. Step 4: Simplify right side
    54,713.81x = 14,164,406,579.85
  5. Step 5: Solve for x
    x = 14,164,406,579.85/54,713.81
  6. Step 6: Final answer
    x = 258,881.73

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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.