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Finding the Third Proportional to 34,273.50 and 75,229.50

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Solution

The third proportional to 34,273.50 and 75,229.50 is: 165,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273.50 : 75,229.50 = 75,229.50 : x
  2. Step 2: Convert to fraction form
    34,273.50/75,229.50 = 75,229.50/x
  3. Step 3: Cross multiply
    34,273.50x = 75,229.50 × 75,229.50
  4. Step 4: Simplify right side
    34,273.50x = 5,659,477,670.25
  5. Step 5: Solve for x
    x = 5,659,477,670.25/34,273.50
  6. Step 6: Final answer
    x = 165,126.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.