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Finding the Third Proportional to 85,560.75 and 113,548.50

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Solution

The third proportional to 85,560.75 and 113,548.50 is: 150,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,560.75 : 113,548.50 = 113,548.50 : x
  2. Step 2: Convert to fraction form
    85,560.75/113,548.50 = 113,548.50/x
  3. Step 3: Cross multiply
    85,560.75x = 113,548.50 × 113,548.50
  4. Step 4: Simplify right side
    85,560.75x = 12,893,261,852.25
  5. Step 5: Solve for x
    x = 12,893,261,852.25/85,560.75
  6. Step 6: Final answer
    x = 150,691.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.