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Finding the Third Proportional to 52,381 and 113,062

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Solution

The third proportional to 52,381 and 113,062 is: 244,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,381 : 113,062 = 113,062 : x
  2. Step 2: Convert to fraction form
    52,381/113,062 = 113,062/x
  3. Step 3: Cross multiply
    52,381x = 113,062 × 113,062
  4. Step 4: Simplify right side
    52,381x = 12,783,015,844
  5. Step 5: Solve for x
    x = 12,783,015,844/52,381
  6. Step 6: Final answer
    x = 244,039.17

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