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Finding the Third Proportional to 52,268 and 78,519.75

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Solution

The third proportional to 52,268 and 78,519.75 is: 117,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,268 : 78,519.75 = 78,519.75 : x
  2. Step 2: Convert to fraction form
    52,268/78,519.75 = 78,519.75/x
  3. Step 3: Cross multiply
    52,268x = 78,519.75 × 78,519.75
  4. Step 4: Simplify right side
    52,268x = 6,165,351,140.06
  5. Step 5: Solve for x
    x = 6,165,351,140.06/52,268
  6. Step 6: Final answer
    x = 117,956.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.