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Finding the Third Proportional to 77,493.53 and 164,286.88

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Solution

The third proportional to 77,493.53 and 164,286.88 is: 348,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.53 : 164,286.88 = 164,286.88 : x
  2. Step 2: Convert to fraction form
    77,493.53/164,286.88 = 164,286.88/x
  3. Step 3: Cross multiply
    77,493.53x = 164,286.88 × 164,286.88
  4. Step 4: Simplify right side
    77,493.53x = 26,990,177,297.27
  5. Step 5: Solve for x
    x = 26,990,177,297.27/77,493.53
  6. Step 6: Final answer
    x = 348,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.