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Finding the Third Proportional to 52,069.50 and 114,378.75

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Solution

The third proportional to 52,069.50 and 114,378.75 is: 251,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.50 : 114,378.75 = 114,378.75 : x
  2. Step 2: Convert to fraction form
    52,069.50/114,378.75 = 114,378.75/x
  3. Step 3: Cross multiply
    52,069.50x = 114,378.75 × 114,378.75
  4. Step 4: Simplify right side
    52,069.50x = 13,082,498,451.56
  5. Step 5: Solve for x
    x = 13,082,498,451.56/52,069.50
  6. Step 6: Final answer
    x = 251,250.70

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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.