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Finding the Third Proportional to 81,394.50 and 174,469.88

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Solution

The third proportional to 81,394.50 and 174,469.88 is: 373,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.50 : 174,469.88 = 174,469.88 : x
  2. Step 2: Convert to fraction form
    81,394.50/174,469.88 = 174,469.88/x
  3. Step 3: Cross multiply
    81,394.50x = 174,469.88 × 174,469.88
  4. Step 4: Simplify right side
    81,394.50x = 30,439,737,282.52
  5. Step 5: Solve for x
    x = 30,439,737,282.52/81,394.50
  6. Step 6: Final answer
    x = 373,977.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.