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Finding the Third Proportional to 57,025.50 and 83,371.25

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Solution

The third proportional to 57,025.50 and 83,371.25 is: 121,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,025.50 : 83,371.25 = 83,371.25 : x
  2. Step 2: Convert to fraction form
    57,025.50/83,371.25 = 83,371.25/x
  3. Step 3: Cross multiply
    57,025.50x = 83,371.25 × 83,371.25
  4. Step 4: Simplify right side
    57,025.50x = 6,950,765,326.56
  5. Step 5: Solve for x
    x = 6,950,765,326.56/57,025.50
  6. Step 6: Final answer
    x = 121,888.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.