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Finding the Third Proportional to 124,093 and 269,178

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Solution

The third proportional to 124,093 and 269,178 is: 583,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,093 : 269,178 = 269,178 : x
  2. Step 2: Convert to fraction form
    124,093/269,178 = 269,178/x
  3. Step 3: Cross multiply
    124,093x = 269,178 × 269,178
  4. Step 4: Simplify right side
    124,093x = 72,456,795,684
  5. Step 5: Solve for x
    x = 72,456,795,684/124,093
  6. Step 6: Final answer
    x = 583,891.08

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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.