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Finding the Third Proportional to 65,171.25 and 98,313.75

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Solution

The third proportional to 65,171.25 and 98,313.75 is: 148,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.25 : 98,313.75 = 98,313.75 : x
  2. Step 2: Convert to fraction form
    65,171.25/98,313.75 = 98,313.75/x
  3. Step 3: Cross multiply
    65,171.25x = 98,313.75 × 98,313.75
  4. Step 4: Simplify right side
    65,171.25x = 9,665,593,439.06
  5. Step 5: Solve for x
    x = 9,665,593,439.06/65,171.25
  6. Step 6: Final answer
    x = 148,310.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.