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Finding the Third Proportional to 108,933 and 235,961

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Solution

The third proportional to 108,933 and 235,961 is: 511,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,933 : 235,961 = 235,961 : x
  2. Step 2: Convert to fraction form
    108,933/235,961 = 235,961/x
  3. Step 3: Cross multiply
    108,933x = 235,961 × 235,961
  4. Step 4: Simplify right side
    108,933x = 55,677,593,521
  5. Step 5: Solve for x
    x = 55,677,593,521/108,933
  6. Step 6: Final answer
    x = 511,117.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.