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Finding the Third Proportional to 51,900 and 110,712

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Solution

The third proportional to 51,900 and 110,712 is: 236,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900 : 110,712 = 110,712 : x
  2. Step 2: Convert to fraction form
    51,900/110,712 = 110,712/x
  3. Step 3: Cross multiply
    51,900x = 110,712 × 110,712
  4. Step 4: Simplify right side
    51,900x = 12,257,146,944
  5. Step 5: Solve for x
    x = 12,257,146,944/51,900
  6. Step 6: Final answer
    x = 236,168.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.