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Finding the Third Proportional to 88,268 and 181,228.75

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Solution

The third proportional to 88,268 and 181,228.75 is: 372,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,268 : 181,228.75 = 181,228.75 : x
  2. Step 2: Convert to fraction form
    88,268/181,228.75 = 181,228.75/x
  3. Step 3: Cross multiply
    88,268x = 181,228.75 × 181,228.75
  4. Step 4: Simplify right side
    88,268x = 32,843,859,826.56
  5. Step 5: Solve for x
    x = 32,843,859,826.56/88,268
  6. Step 6: Final answer
    x = 372,092.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.