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Finding the Third Proportional to 59,529 and 80,845.50

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Solution

The third proportional to 59,529 and 80,845.50 is: 109,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,529 : 80,845.50 = 80,845.50 : x
  2. Step 2: Convert to fraction form
    59,529/80,845.50 = 80,845.50/x
  3. Step 3: Cross multiply
    59,529x = 80,845.50 × 80,845.50
  4. Step 4: Simplify right side
    59,529x = 6,535,994,870.25
  5. Step 5: Solve for x
    x = 6,535,994,870.25/59,529
  6. Step 6: Final answer
    x = 109,795.14

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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.