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Finding the Third Proportional to 51,854 and 110,816

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Solution

The third proportional to 51,854 and 110,816 is: 236,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854 : 110,816 = 110,816 : x
  2. Step 2: Convert to fraction form
    51,854/110,816 = 110,816/x
  3. Step 3: Cross multiply
    51,854x = 110,816 × 110,816
  4. Step 4: Simplify right side
    51,854x = 12,280,185,856
  5. Step 5: Solve for x
    x = 12,280,185,856/51,854
  6. Step 6: Final answer
    x = 236,822.34

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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.