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Finding the Third Proportional to 54,447.75 and 119,929.50

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Solution

The third proportional to 54,447.75 and 119,929.50 is: 264,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447.75 : 119,929.50 = 119,929.50 : x
  2. Step 2: Convert to fraction form
    54,447.75/119,929.50 = 119,929.50/x
  3. Step 3: Cross multiply
    54,447.75x = 119,929.50 × 119,929.50
  4. Step 4: Simplify right side
    54,447.75x = 14,383,084,970.25
  5. Step 5: Solve for x
    x = 14,383,084,970.25/54,447.75
  6. Step 6: Final answer
    x = 264,163.07

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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.