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Finding the Third Proportional to 53,563 and 102,266

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Solution

The third proportional to 53,563 and 102,266 is: 195,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,563 : 102,266 = 102,266 : x
  2. Step 2: Convert to fraction form
    53,563/102,266 = 102,266/x
  3. Step 3: Cross multiply
    53,563x = 102,266 × 102,266
  4. Step 4: Simplify right side
    53,563x = 10,458,334,756
  5. Step 5: Solve for x
    x = 10,458,334,756/53,563
  6. Step 6: Final answer
    x = 195,252.97

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.