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Finding the Third Proportional to 59,764.50 and 81,205.88

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Solution

The third proportional to 59,764.50 and 81,205.88 is: 110,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,764.50 : 81,205.88 = 81,205.88 : x
  2. Step 2: Convert to fraction form
    59,764.50/81,205.88 = 81,205.88/x
  3. Step 3: Cross multiply
    59,764.50x = 81,205.88 × 81,205.88
  4. Step 4: Simplify right side
    59,764.50x = 6,594,394,134.52
  5. Step 5: Solve for x
    x = 6,594,394,134.52/59,764.50
  6. Step 6: Final answer
    x = 110,339.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.