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Finding the Third Proportional to 51,769 and 110,921

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Solution

The third proportional to 51,769 and 110,921 is: 237,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769 : 110,921 = 110,921 : x
  2. Step 2: Convert to fraction form
    51,769/110,921 = 110,921/x
  3. Step 3: Cross multiply
    51,769x = 110,921 × 110,921
  4. Step 4: Simplify right side
    51,769x = 12,303,468,241
  5. Step 5: Solve for x
    x = 12,303,468,241/51,769
  6. Step 6: Final answer
    x = 237,660.92

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Why These Related Problems?

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