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Finding the Third Proportional to 54,499.50 and 120,001.50

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Solution

The third proportional to 54,499.50 and 120,001.50 is: 264,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.50 : 120,001.50 = 120,001.50 : x
  2. Step 2: Convert to fraction form
    54,499.50/120,001.50 = 120,001.50/x
  3. Step 3: Cross multiply
    54,499.50x = 120,001.50 × 120,001.50
  4. Step 4: Simplify right side
    54,499.50x = 14,400,360,002.25
  5. Step 5: Solve for x
    x = 14,400,360,002.25/54,499.50
  6. Step 6: Final answer
    x = 264,229.21

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