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Finding the Third Proportional to 53,474 and 108,246

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Solution

The third proportional to 53,474 and 108,246 is: 219,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474 : 108,246 = 108,246 : x
  2. Step 2: Convert to fraction form
    53,474/108,246 = 108,246/x
  3. Step 3: Cross multiply
    53,474x = 108,246 × 108,246
  4. Step 4: Simplify right side
    53,474x = 11,717,196,516
  5. Step 5: Solve for x
    x = 11,717,196,516/53,474
  6. Step 6: Final answer
    x = 219,119.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.