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Finding the Third Proportional to 85,474.50 and 141,867

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Solution

The third proportional to 85,474.50 and 141,867 is: 235,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,474.50 : 141,867 = 141,867 : x
  2. Step 2: Convert to fraction form
    85,474.50/141,867 = 141,867/x
  3. Step 3: Cross multiply
    85,474.50x = 141,867 × 141,867
  4. Step 4: Simplify right side
    85,474.50x = 20,126,245,689
  5. Step 5: Solve for x
    x = 20,126,245,689/85,474.50
  6. Step 6: Final answer
    x = 235,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.