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Finding the Third Proportional to 34,117.50 and 73,782

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Solution

The third proportional to 34,117.50 and 73,782 is: 159,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,117.50 : 73,782 = 73,782 : x
  2. Step 2: Convert to fraction form
    34,117.50/73,782 = 73,782/x
  3. Step 3: Cross multiply
    34,117.50x = 73,782 × 73,782
  4. Step 4: Simplify right side
    34,117.50x = 5,443,783,524
  5. Step 5: Solve for x
    x = 5,443,783,524/34,117.50
  6. Step 6: Final answer
    x = 159,559.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.