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Finding the Third Proportional to 42,099.75 and 59,550.19

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Solution

The third proportional to 42,099.75 and 59,550.19 is: 84,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.75 : 59,550.19 = 59,550.19 : x
  2. Step 2: Convert to fraction form
    42,099.75/59,550.19 = 59,550.19/x
  3. Step 3: Cross multiply
    42,099.75x = 59,550.19 × 59,550.19
  4. Step 4: Simplify right side
    42,099.75x = 3,546,224,831.29
  5. Step 5: Solve for x
    x = 3,546,224,831.29/42,099.75
  6. Step 6: Final answer
    x = 84,233.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.