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Finding the Third Proportional to 51,259 and 110,182

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Solution

The third proportional to 51,259 and 110,182 is: 236,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,259 : 110,182 = 110,182 : x
  2. Step 2: Convert to fraction form
    51,259/110,182 = 110,182/x
  3. Step 3: Cross multiply
    51,259x = 110,182 × 110,182
  4. Step 4: Simplify right side
    51,259x = 12,140,073,124
  5. Step 5: Solve for x
    x = 12,140,073,124/51,259
  6. Step 6: Final answer
    x = 236,837.88

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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.