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Finding the Third Proportional to 49,059 and 73,649.25

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Solution

The third proportional to 49,059 and 73,649.25 is: 110,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,059 : 73,649.25 = 73,649.25 : x
  2. Step 2: Convert to fraction form
    49,059/73,649.25 = 73,649.25/x
  3. Step 3: Cross multiply
    49,059x = 73,649.25 × 73,649.25
  4. Step 4: Simplify right side
    49,059x = 5,424,212,025.56
  5. Step 5: Solve for x
    x = 5,424,212,025.56/49,059
  6. Step 6: Final answer
    x = 110,565.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.