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Finding the Third Proportional to 51,919 and 115,520

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Solution

The third proportional to 51,919 and 115,520 is: 257,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919 : 115,520 = 115,520 : x
  2. Step 2: Convert to fraction form
    51,919/115,520 = 115,520/x
  3. Step 3: Cross multiply
    51,919x = 115,520 × 115,520
  4. Step 4: Simplify right side
    51,919x = 13,344,870,400
  5. Step 5: Solve for x
    x = 13,344,870,400/51,919
  6. Step 6: Final answer
    x = 257,032.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.