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Finding the Third Proportional to 57,232.69 and 124,314.38

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Solution

The third proportional to 57,232.69 and 124,314.38 is: 270,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232.69 : 124,314.38 = 124,314.38 : x
  2. Step 2: Convert to fraction form
    57,232.69/124,314.38 = 124,314.38/x
  3. Step 3: Cross multiply
    57,232.69x = 124,314.38 × 124,314.38
  4. Step 4: Simplify right side
    57,232.69x = 15,454,063,831.64
  5. Step 5: Solve for x
    x = 15,454,063,831.64/57,232.69
  6. Step 6: Final answer
    x = 270,021.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.