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Finding the Third Proportional to 127,198.50 and 187,003.50

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Solution

The third proportional to 127,198.50 and 187,003.50 is: 274,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,198.50 : 187,003.50 = 187,003.50 : x
  2. Step 2: Convert to fraction form
    127,198.50/187,003.50 = 187,003.50/x
  3. Step 3: Cross multiply
    127,198.50x = 187,003.50 × 187,003.50
  4. Step 4: Simplify right side
    127,198.50x = 34,970,309,012.25
  5. Step 5: Solve for x
    x = 34,970,309,012.25/127,198.50
  6. Step 6: Final answer
    x = 274,927.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.