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Finding the Third Proportional to 112,178 and 247,126

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Solution

The third proportional to 112,178 and 247,126 is: 544,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,178 : 247,126 = 247,126 : x
  2. Step 2: Convert to fraction form
    112,178/247,126 = 247,126/x
  3. Step 3: Cross multiply
    112,178x = 247,126 × 247,126
  4. Step 4: Simplify right side
    112,178x = 61,071,259,876
  5. Step 5: Solve for x
    x = 61,071,259,876/112,178
  6. Step 6: Final answer
    x = 544,413.88

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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.