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Finding the Third Proportional to 51,264 and 109,908

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Solution

The third proportional to 51,264 and 109,908 is: 235,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,264 : 109,908 = 109,908 : x
  2. Step 2: Convert to fraction form
    51,264/109,908 = 109,908/x
  3. Step 3: Cross multiply
    51,264x = 109,908 × 109,908
  4. Step 4: Simplify right side
    51,264x = 12,079,768,464
  5. Step 5: Solve for x
    x = 12,079,768,464/51,264
  6. Step 6: Final answer
    x = 235,638.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.