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Finding the Third Proportional to 40,974 and 88,176

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Solution

The third proportional to 40,974 and 88,176 is: 189,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,974 : 88,176 = 88,176 : x
  2. Step 2: Convert to fraction form
    40,974/88,176 = 88,176/x
  3. Step 3: Cross multiply
    40,974x = 88,176 × 88,176
  4. Step 4: Simplify right side
    40,974x = 7,775,006,976
  5. Step 5: Solve for x
    x = 7,775,006,976/40,974
  6. Step 6: Final answer
    x = 189,754.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.