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Finding the Third Proportional to 124,091 and 269,176

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Solution

The third proportional to 124,091 and 269,176 is: 583,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,091 : 269,176 = 269,176 : x
  2. Step 2: Convert to fraction form
    124,091/269,176 = 269,176/x
  3. Step 3: Cross multiply
    124,091x = 269,176 × 269,176
  4. Step 4: Simplify right side
    124,091x = 72,455,718,976
  5. Step 5: Solve for x
    x = 72,455,718,976/124,091
  6. Step 6: Final answer
    x = 583,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.