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Finding the Third Proportional to 54,742.50 and 79,107.75

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Solution

The third proportional to 54,742.50 and 79,107.75 is: 114,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.50 : 79,107.75 = 79,107.75 : x
  2. Step 2: Convert to fraction form
    54,742.50/79,107.75 = 79,107.75/x
  3. Step 3: Cross multiply
    54,742.50x = 79,107.75 × 79,107.75
  4. Step 4: Simplify right side
    54,742.50x = 6,258,036,110.06
  5. Step 5: Solve for x
    x = 6,258,036,110.06/54,742.50
  6. Step 6: Final answer
    x = 114,317.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.