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Finding the Third Proportional to 54,359.75 and 119,438.50

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Solution

The third proportional to 54,359.75 and 119,438.50 is: 262,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359.75 : 119,438.50 = 119,438.50 : x
  2. Step 2: Convert to fraction form
    54,359.75/119,438.50 = 119,438.50/x
  3. Step 3: Cross multiply
    54,359.75x = 119,438.50 × 119,438.50
  4. Step 4: Simplify right side
    54,359.75x = 14,265,555,282.25
  5. Step 5: Solve for x
    x = 14,265,555,282.25/54,359.75
  6. Step 6: Final answer
    x = 262,428.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.