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Finding the Third Proportional to 61,749.84 and 132,861.94

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Solution

The third proportional to 61,749.84 and 132,861.94 is: 285,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,749.84 : 132,861.94 = 132,861.94 : x
  2. Step 2: Convert to fraction form
    61,749.84/132,861.94 = 132,861.94/x
  3. Step 3: Cross multiply
    61,749.84x = 132,861.94 × 132,861.94
  4. Step 4: Simplify right side
    61,749.84x = 17,652,294,436.25
  5. Step 5: Solve for x
    x = 17,652,294,436.25/61,749.84
  6. Step 6: Final answer
    x = 285,867.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.