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Finding the Third Proportional to 51,173 and 110,122

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Solution

The third proportional to 51,173 and 110,122 is: 236,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173 : 110,122 = 110,122 : x
  2. Step 2: Convert to fraction form
    51,173/110,122 = 110,122/x
  3. Step 3: Cross multiply
    51,173x = 110,122 × 110,122
  4. Step 4: Simplify right side
    51,173x = 12,126,854,884
  5. Step 5: Solve for x
    x = 12,126,854,884/51,173
  6. Step 6: Final answer
    x = 236,977.60

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Why These Related Problems?

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