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Finding the Third Proportional to 78,469.50 and 171,519

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Solution

The third proportional to 78,469.50 and 171,519 is: 374,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.50 : 171,519 = 171,519 : x
  2. Step 2: Convert to fraction form
    78,469.50/171,519 = 171,519/x
  3. Step 3: Cross multiply
    78,469.50x = 171,519 × 171,519
  4. Step 4: Simplify right side
    78,469.50x = 29,418,767,361
  5. Step 5: Solve for x
    x = 29,418,767,361/78,469.50
  6. Step 6: Final answer
    x = 374,907.03

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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.