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Finding the Third Proportional to 48,057 and 112,255.50

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Solution

The third proportional to 48,057 and 112,255.50 is: 262,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,057 : 112,255.50 = 112,255.50 : x
  2. Step 2: Convert to fraction form
    48,057/112,255.50 = 112,255.50/x
  3. Step 3: Cross multiply
    48,057x = 112,255.50 × 112,255.50
  4. Step 4: Simplify right side
    48,057x = 12,601,297,280.25
  5. Step 5: Solve for x
    x = 12,601,297,280.25/48,057
  6. Step 6: Final answer
    x = 262,215.65

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.