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Finding the Third Proportional to 68,197.50 and 147,246.75

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Solution

The third proportional to 68,197.50 and 147,246.75 is: 317,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.50 : 147,246.75 = 147,246.75 : x
  2. Step 2: Convert to fraction form
    68,197.50/147,246.75 = 147,246.75/x
  3. Step 3: Cross multiply
    68,197.50x = 147,246.75 × 147,246.75
  4. Step 4: Simplify right side
    68,197.50x = 21,681,605,385.56
  5. Step 5: Solve for x
    x = 21,681,605,385.56/68,197.50
  6. Step 6: Final answer
    x = 317,923.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.