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Finding the Third Proportional to 38,090.50 and 88,167

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Solution

The third proportional to 38,090.50 and 88,167 is: 204,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090.50 : 88,167 = 88,167 : x
  2. Step 2: Convert to fraction form
    38,090.50/88,167 = 88,167/x
  3. Step 3: Cross multiply
    38,090.50x = 88,167 × 88,167
  4. Step 4: Simplify right side
    38,090.50x = 7,773,419,889
  5. Step 5: Solve for x
    x = 7,773,419,889/38,090.50
  6. Step 6: Final answer
    x = 204,077.65

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.