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Finding the Third Proportional to 25,074 and 55,068.75

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Solution

The third proportional to 25,074 and 55,068.75 is: 120,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 55,068.75 = 55,068.75 : x
  2. Step 2: Convert to fraction form
    25,074/55,068.75 = 55,068.75/x
  3. Step 3: Cross multiply
    25,074x = 55,068.75 × 55,068.75
  4. Step 4: Simplify right side
    25,074x = 3,032,567,226.56
  5. Step 5: Solve for x
    x = 3,032,567,226.56/25,074
  6. Step 6: Final answer
    x = 120,944.69

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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.