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Finding the Third Proportional to 140,121.56 and 211,840.31

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Solution

The third proportional to 140,121.56 and 211,840.31 is: 320,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121.56 : 211,840.31 = 211,840.31 : x
  2. Step 2: Convert to fraction form
    140,121.56/211,840.31 = 211,840.31/x
  3. Step 3: Cross multiply
    140,121.56x = 211,840.31 × 211,840.31
  4. Step 4: Simplify right side
    140,121.56x = 44,876,318,000.10
  5. Step 5: Solve for x
    x = 44,876,318,000.10/140,121.56
  6. Step 6: Final answer
    x = 320,267.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.