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Finding the Third Proportional to 34,157.50 and 72,029

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Solution

The third proportional to 34,157.50 and 72,029 is: 151,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.50 : 72,029 = 72,029 : x
  2. Step 2: Convert to fraction form
    34,157.50/72,029 = 72,029/x
  3. Step 3: Cross multiply
    34,157.50x = 72,029 × 72,029
  4. Step 4: Simplify right side
    34,157.50x = 5,188,176,841
  5. Step 5: Solve for x
    x = 5,188,176,841/34,157.50
  6. Step 6: Final answer
    x = 151,889.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.