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Finding the Third Proportional to 99,772.50 and 149,661.75

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Solution

The third proportional to 99,772.50 and 149,661.75 is: 224,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.50 : 149,661.75 = 149,661.75 : x
  2. Step 2: Convert to fraction form
    99,772.50/149,661.75 = 149,661.75/x
  3. Step 3: Cross multiply
    99,772.50x = 149,661.75 × 149,661.75
  4. Step 4: Simplify right side
    99,772.50x = 22,398,639,413.06
  5. Step 5: Solve for x
    x = 22,398,639,413.06/99,772.50
  6. Step 6: Final answer
    x = 224,497.13

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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.