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Finding the Third Proportional to 53,919 and 109,305

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Solution

The third proportional to 53,919 and 109,305 is: 221,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,919 : 109,305 = 109,305 : x
  2. Step 2: Convert to fraction form
    53,919/109,305 = 109,305/x
  3. Step 3: Cross multiply
    53,919x = 109,305 × 109,305
  4. Step 4: Simplify right side
    53,919x = 11,947,583,025
  5. Step 5: Solve for x
    x = 11,947,583,025/53,919
  6. Step 6: Final answer
    x = 221,583.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.