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Finding the Third Proportional to 80,118.75 and 122,296.88

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Solution

The third proportional to 80,118.75 and 122,296.88 is: 186,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118.75 : 122,296.88 = 122,296.88 : x
  2. Step 2: Convert to fraction form
    80,118.75/122,296.88 = 122,296.88/x
  3. Step 3: Cross multiply
    80,118.75x = 122,296.88 × 122,296.88
  4. Step 4: Simplify right side
    80,118.75x = 14,956,525,634.77
  5. Step 5: Solve for x
    x = 14,956,525,634.77/80,118.75
  6. Step 6: Final answer
    x = 186,679.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.