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Finding the Third Proportional to 107,736 and 144,927

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Solution

The third proportional to 107,736 and 144,927 is: 194,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,736 : 144,927 = 144,927 : x
  2. Step 2: Convert to fraction form
    107,736/144,927 = 144,927/x
  3. Step 3: Cross multiply
    107,736x = 144,927 × 144,927
  4. Step 4: Simplify right side
    107,736x = 21,003,835,329
  5. Step 5: Solve for x
    x = 21,003,835,329/107,736
  6. Step 6: Final answer
    x = 194,956.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.