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Finding the Third Proportional to 51,866 and 113,119

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Solution

The third proportional to 51,866 and 113,119 is: 246,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866 : 113,119 = 113,119 : x
  2. Step 2: Convert to fraction form
    51,866/113,119 = 113,119/x
  3. Step 3: Cross multiply
    51,866x = 113,119 × 113,119
  4. Step 4: Simplify right side
    51,866x = 12,795,908,161
  5. Step 5: Solve for x
    x = 12,795,908,161/51,866
  6. Step 6: Final answer
    x = 246,710.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.