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Finding the Third Proportional to 51,796 and 112,816

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Solution

The third proportional to 51,796 and 112,816 is: 245,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,796 : 112,816 = 112,816 : x
  2. Step 2: Convert to fraction form
    51,796/112,816 = 112,816/x
  3. Step 3: Cross multiply
    51,796x = 112,816 × 112,816
  4. Step 4: Simplify right side
    51,796x = 12,727,449,856
  5. Step 5: Solve for x
    x = 12,727,449,856/51,796
  6. Step 6: Final answer
    x = 245,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.