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Finding the Third Proportional to 59,737.50 and 81,177

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Solution

The third proportional to 59,737.50 and 81,177 is: 110,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,737.50 : 81,177 = 81,177 : x
  2. Step 2: Convert to fraction form
    59,737.50/81,177 = 81,177/x
  3. Step 3: Cross multiply
    59,737.50x = 81,177 × 81,177
  4. Step 4: Simplify right side
    59,737.50x = 6,589,705,329
  5. Step 5: Solve for x
    x = 6,589,705,329/59,737.50
  6. Step 6: Final answer
    x = 110,311.03

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Why These Related Problems?

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