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Finding the Third Proportional to 57,601 and 82,369.50

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Solution

The third proportional to 57,601 and 82,369.50 is: 117,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,601 : 82,369.50 = 82,369.50 : x
  2. Step 2: Convert to fraction form
    57,601/82,369.50 = 82,369.50/x
  3. Step 3: Cross multiply
    57,601x = 82,369.50 × 82,369.50
  4. Step 4: Simplify right side
    57,601x = 6,784,734,530.25
  5. Step 5: Solve for x
    x = 6,784,734,530.25/57,601
  6. Step 6: Final answer
    x = 117,788.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.