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Finding the Third Proportional to 78,469.50 and 171,610

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Solution

The third proportional to 78,469.50 and 171,610 is: 375,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.50 : 171,610 = 171,610 : x
  2. Step 2: Convert to fraction form
    78,469.50/171,610 = 171,610/x
  3. Step 3: Cross multiply
    78,469.50x = 171,610 × 171,610
  4. Step 4: Simplify right side
    78,469.50x = 29,449,992,100
  5. Step 5: Solve for x
    x = 29,449,992,100/78,469.50
  6. Step 6: Final answer
    x = 375,304.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.