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Finding the Third Proportional to 138,591 and 193,090.50

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Solution

The third proportional to 138,591 and 193,090.50 is: 269,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591 : 193,090.50 = 193,090.50 : x
  2. Step 2: Convert to fraction form
    138,591/193,090.50 = 193,090.50/x
  3. Step 3: Cross multiply
    138,591x = 193,090.50 × 193,090.50
  4. Step 4: Simplify right side
    138,591x = 37,283,941,190.25
  5. Step 5: Solve for x
    x = 37,283,941,190.25/138,591
  6. Step 6: Final answer
    x = 269,021.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.