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Finding the Third Proportional to 85,741.50 and 134,100

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Solution

The third proportional to 85,741.50 and 134,100 is: 209,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,741.50 : 134,100 = 134,100 : x
  2. Step 2: Convert to fraction form
    85,741.50/134,100 = 134,100/x
  3. Step 3: Cross multiply
    85,741.50x = 134,100 × 134,100
  4. Step 4: Simplify right side
    85,741.50x = 17,982,810,000
  5. Step 5: Solve for x
    x = 17,982,810,000/85,741.50
  6. Step 6: Final answer
    x = 209,732.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.