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Finding the Third Proportional to 96,313.50 and 149,715.75

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Solution

The third proportional to 96,313.50 and 149,715.75 is: 232,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313.50 : 149,715.75 = 149,715.75 : x
  2. Step 2: Convert to fraction form
    96,313.50/149,715.75 = 149,715.75/x
  3. Step 3: Cross multiply
    96,313.50x = 149,715.75 × 149,715.75
  4. Step 4: Simplify right side
    96,313.50x = 22,414,805,798.06
  5. Step 5: Solve for x
    x = 22,414,805,798.06/96,313.50
  6. Step 6: Final answer
    x = 232,727.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.