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Finding the Third Proportional to 57,433.50 and 84,150

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Solution

The third proportional to 57,433.50 and 84,150 is: 123,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433.50 : 84,150 = 84,150 : x
  2. Step 2: Convert to fraction form
    57,433.50/84,150 = 84,150/x
  3. Step 3: Cross multiply
    57,433.50x = 84,150 × 84,150
  4. Step 4: Simplify right side
    57,433.50x = 7,081,222,500
  5. Step 5: Solve for x
    x = 7,081,222,500/57,433.50
  6. Step 6: Final answer
    x = 123,294.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.