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Finding the Third Proportional to 54,588.38 and 119,359.69

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Solution

The third proportional to 54,588.38 and 119,359.69 is: 260,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588.38 : 119,359.69 = 119,359.69 : x
  2. Step 2: Convert to fraction form
    54,588.38/119,359.69 = 119,359.69/x
  3. Step 3: Cross multiply
    54,588.38x = 119,359.69 × 119,359.69
  4. Step 4: Simplify right side
    54,588.38x = 14,246,735,000.10
  5. Step 5: Solve for x
    x = 14,246,735,000.10/54,588.38
  6. Step 6: Final answer
    x = 260,984.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.