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Finding the Third Proportional to 54,580.50 and 119,873.25

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Solution

The third proportional to 54,580.50 and 119,873.25 is: 263,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,580.50 : 119,873.25 = 119,873.25 : x
  2. Step 2: Convert to fraction form
    54,580.50/119,873.25 = 119,873.25/x
  3. Step 3: Cross multiply
    54,580.50x = 119,873.25 × 119,873.25
  4. Step 4: Simplify right side
    54,580.50x = 14,369,596,065.56
  5. Step 5: Solve for x
    x = 14,369,596,065.56/54,580.50
  6. Step 6: Final answer
    x = 263,273.44

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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.