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Finding the Third Proportional to 85,167.56 and 132,249.94

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Solution

The third proportional to 85,167.56 and 132,249.94 is: 205,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,167.56 : 132,249.94 = 132,249.94 : x
  2. Step 2: Convert to fraction form
    85,167.56/132,249.94 = 132,249.94/x
  3. Step 3: Cross multiply
    85,167.56x = 132,249.94 × 132,249.94
  4. Step 4: Simplify right side
    85,167.56x = 17,490,045,968.75
  5. Step 5: Solve for x
    x = 17,490,045,968.75/85,167.56
  6. Step 6: Final answer
    x = 205,360.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.