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Finding the Third Proportional to 53,211 and 110,929

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Solution

The third proportional to 53,211 and 110,929 is: 231,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211 : 110,929 = 110,929 : x
  2. Step 2: Convert to fraction form
    53,211/110,929 = 110,929/x
  3. Step 3: Cross multiply
    53,211x = 110,929 × 110,929
  4. Step 4: Simplify right side
    53,211x = 12,305,243,041
  5. Step 5: Solve for x
    x = 12,305,243,041/53,211
  6. Step 6: Final answer
    x = 231,253.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.