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Finding the Third Proportional to 54,310.88 and 75,873.75

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Solution

The third proportional to 54,310.88 and 75,873.75 is: 105,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,310.88 : 75,873.75 = 75,873.75 : x
  2. Step 2: Convert to fraction form
    54,310.88/75,873.75 = 75,873.75/x
  3. Step 3: Cross multiply
    54,310.88x = 75,873.75 × 75,873.75
  4. Step 4: Simplify right side
    54,310.88x = 5,756,825,939.06
  5. Step 5: Solve for x
    x = 5,756,825,939.06/54,310.88
  6. Step 6: Final answer
    x = 105,997.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.