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Finding the Third Proportional to 57,233.50 and 124,314.50

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Solution

The third proportional to 57,233.50 and 124,314.50 is: 270,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.50 : 124,314.50 = 124,314.50 : x
  2. Step 2: Convert to fraction form
    57,233.50/124,314.50 = 124,314.50/x
  3. Step 3: Cross multiply
    57,233.50x = 124,314.50 × 124,314.50
  4. Step 4: Simplify right side
    57,233.50x = 15,454,094,910.25
  5. Step 5: Solve for x
    x = 15,454,094,910.25/57,233.50
  6. Step 6: Final answer
    x = 270,018.34

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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.