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Finding the Third Proportional to 51,964 and 111,650

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Solution

The third proportional to 51,964 and 111,650 is: 239,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 111,650 = 111,650 : x
  2. Step 2: Convert to fraction form
    51,964/111,650 = 111,650/x
  3. Step 3: Cross multiply
    51,964x = 111,650 × 111,650
  4. Step 4: Simplify right side
    51,964x = 12,465,722,500
  5. Step 5: Solve for x
    x = 12,465,722,500/51,964
  6. Step 6: Final answer
    x = 239,891.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.