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Finding the Third Proportional to 40,176 and 88,233.75

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Solution

The third proportional to 40,176 and 88,233.75 is: 193,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,176 : 88,233.75 = 88,233.75 : x
  2. Step 2: Convert to fraction form
    40,176/88,233.75 = 88,233.75/x
  3. Step 3: Cross multiply
    40,176x = 88,233.75 × 88,233.75
  4. Step 4: Simplify right side
    40,176x = 7,785,194,639.06
  5. Step 5: Solve for x
    x = 7,785,194,639.06/40,176
  6. Step 6: Final answer
    x = 193,777.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.