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Finding the Third Proportional to 54,116 and 124,282

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Solution

The third proportional to 54,116 and 124,282 is: 285,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116 : 124,282 = 124,282 : x
  2. Step 2: Convert to fraction form
    54,116/124,282 = 124,282/x
  3. Step 3: Cross multiply
    54,116x = 124,282 × 124,282
  4. Step 4: Simplify right side
    54,116x = 15,446,015,524
  5. Step 5: Solve for x
    x = 15,446,015,524/54,116
  6. Step 6: Final answer
    x = 285,424.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.