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Finding the Third Proportional to 51,469 and 110,071

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Solution

The third proportional to 51,469 and 110,071 is: 235,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469 : 110,071 = 110,071 : x
  2. Step 2: Convert to fraction form
    51,469/110,071 = 110,071/x
  3. Step 3: Cross multiply
    51,469x = 110,071 × 110,071
  4. Step 4: Simplify right side
    51,469x = 12,115,625,041
  5. Step 5: Solve for x
    x = 12,115,625,041/51,469
  6. Step 6: Final answer
    x = 235,396.55

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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.