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Finding the Third Proportional to 122,344.50 and 187,172.25

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Solution

The third proportional to 122,344.50 and 187,172.25 is: 286,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,344.50 : 187,172.25 = 187,172.25 : x
  2. Step 2: Convert to fraction form
    122,344.50/187,172.25 = 187,172.25/x
  3. Step 3: Cross multiply
    122,344.50x = 187,172.25 × 187,172.25
  4. Step 4: Simplify right side
    122,344.50x = 35,033,451,170.06
  5. Step 5: Solve for x
    x = 35,033,451,170.06/122,344.50
  6. Step 6: Final answer
    x = 286,350.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.