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Finding the Third Proportional to 51,921 and 122,526

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Solution

The third proportional to 51,921 and 122,526 is: 289,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921 : 122,526 = 122,526 : x
  2. Step 2: Convert to fraction form
    51,921/122,526 = 122,526/x
  3. Step 3: Cross multiply
    51,921x = 122,526 × 122,526
  4. Step 4: Simplify right side
    51,921x = 15,012,620,676
  5. Step 5: Solve for x
    x = 15,012,620,676/51,921
  6. Step 6: Final answer
    x = 289,143.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.