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Finding the Third Proportional to 55,552.50 and 120,150

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Solution

The third proportional to 55,552.50 and 120,150 is: 259,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,552.50 : 120,150 = 120,150 : x
  2. Step 2: Convert to fraction form
    55,552.50/120,150 = 120,150/x
  3. Step 3: Cross multiply
    55,552.50x = 120,150 × 120,150
  4. Step 4: Simplify right side
    55,552.50x = 14,436,022,500
  5. Step 5: Solve for x
    x = 14,436,022,500/55,552.50
  6. Step 6: Final answer
    x = 259,862.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.