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Finding the Third Proportional to 42,183 and 62,626.50

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Solution

The third proportional to 42,183 and 62,626.50 is: 92,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183 : 62,626.50 = 62,626.50 : x
  2. Step 2: Convert to fraction form
    42,183/62,626.50 = 62,626.50/x
  3. Step 3: Cross multiply
    42,183x = 62,626.50 × 62,626.50
  4. Step 4: Simplify right side
    42,183x = 3,922,078,502.25
  5. Step 5: Solve for x
    x = 3,922,078,502.25/42,183
  6. Step 6: Final answer
    x = 92,977.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.