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Finding the Third Proportional to 51,814 and 110,980

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Solution

The third proportional to 51,814 and 110,980 is: 237,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814 : 110,980 = 110,980 : x
  2. Step 2: Convert to fraction form
    51,814/110,980 = 110,980/x
  3. Step 3: Cross multiply
    51,814x = 110,980 × 110,980
  4. Step 4: Simplify right side
    51,814x = 12,316,560,400
  5. Step 5: Solve for x
    x = 12,316,560,400/51,814
  6. Step 6: Final answer
    x = 237,707.19

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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.