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Finding the Third Proportional to 137,601.75 and 203,851.13

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Solution

The third proportional to 137,601.75 and 203,851.13 is: 301,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,601.75 : 203,851.13 = 203,851.13 : x
  2. Step 2: Convert to fraction form
    137,601.75/203,851.13 = 203,851.13/x
  3. Step 3: Cross multiply
    137,601.75x = 203,851.13 × 203,851.13
  4. Step 4: Simplify right side
    137,601.75x = 41,555,281,163.77
  5. Step 5: Solve for x
    x = 41,555,281,163.77/137,601.75
  6. Step 6: Final answer
    x = 301,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.