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Finding the Third Proportional to 124,983 and 269,927

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Solution

The third proportional to 124,983 and 269,927 is: 582,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,983 : 269,927 = 269,927 : x
  2. Step 2: Convert to fraction form
    124,983/269,927 = 269,927/x
  3. Step 3: Cross multiply
    124,983x = 269,927 × 269,927
  4. Step 4: Simplify right side
    124,983x = 72,860,585,329
  5. Step 5: Solve for x
    x = 72,860,585,329/124,983
  6. Step 6: Final answer
    x = 582,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.