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Finding the Third Proportional to 54,774 and 119,594.25

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Solution

The third proportional to 54,774 and 119,594.25 is: 261,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774 : 119,594.25 = 119,594.25 : x
  2. Step 2: Convert to fraction form
    54,774/119,594.25 = 119,594.25/x
  3. Step 3: Cross multiply
    54,774x = 119,594.25 × 119,594.25
  4. Step 4: Simplify right side
    54,774x = 14,302,784,633.06
  5. Step 5: Solve for x
    x = 14,302,784,633.06/54,774
  6. Step 6: Final answer
    x = 261,123.61

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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.