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Finding the Third Proportional to 61,538 and 92,204

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Solution

The third proportional to 61,538 and 92,204 is: 138,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538 : 92,204 = 92,204 : x
  2. Step 2: Convert to fraction form
    61,538/92,204 = 92,204/x
  3. Step 3: Cross multiply
    61,538x = 92,204 × 92,204
  4. Step 4: Simplify right side
    61,538x = 8,501,577,616
  5. Step 5: Solve for x
    x = 8,501,577,616/61,538
  6. Step 6: Final answer
    x = 138,151.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.