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Finding the Third Proportional to 104,173 and 227,275

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Solution

The third proportional to 104,173 and 227,275 is: 495,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,173 : 227,275 = 227,275 : x
  2. Step 2: Convert to fraction form
    104,173/227,275 = 227,275/x
  3. Step 3: Cross multiply
    104,173x = 227,275 × 227,275
  4. Step 4: Simplify right side
    104,173x = 51,653,925,625
  5. Step 5: Solve for x
    x = 51,653,925,625/104,173
  6. Step 6: Final answer
    x = 495,847.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.