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Finding the Third Proportional to 109,764.75 and 239,421

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Solution

The third proportional to 109,764.75 and 239,421 is: 522,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,764.75 : 239,421 = 239,421 : x
  2. Step 2: Convert to fraction form
    109,764.75/239,421 = 239,421/x
  3. Step 3: Cross multiply
    109,764.75x = 239,421 × 239,421
  4. Step 4: Simplify right side
    109,764.75x = 57,322,415,241
  5. Step 5: Solve for x
    x = 57,322,415,241/109,764.75
  6. Step 6: Final answer
    x = 522,229.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.