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Finding the Third Proportional to 54,189 and 120,001.50

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Solution

The third proportional to 54,189 and 120,001.50 is: 265,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189 : 120,001.50 = 120,001.50 : x
  2. Step 2: Convert to fraction form
    54,189/120,001.50 = 120,001.50/x
  3. Step 3: Cross multiply
    54,189x = 120,001.50 × 120,001.50
  4. Step 4: Simplify right side
    54,189x = 14,400,360,002.25
  5. Step 5: Solve for x
    x = 14,400,360,002.25/54,189
  6. Step 6: Final answer
    x = 265,743.23

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.