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Finding the Third Proportional to 54,164.32 and 120,775.75

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Solution

The third proportional to 54,164.32 and 120,775.75 is: 269,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,164.32 : 120,775.75 = 120,775.75 : x
  2. Step 2: Convert to fraction form
    54,164.32/120,775.75 = 120,775.75/x
  3. Step 3: Cross multiply
    54,164.32x = 120,775.75 × 120,775.75
  4. Step 4: Simplify right side
    54,164.32x = 14,586,780,844.50
  5. Step 5: Solve for x
    x = 14,586,780,844.50/54,164.32
  6. Step 6: Final answer
    x = 269,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.