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Finding the Third Proportional to 57,024 and 85,050

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Solution

The third proportional to 57,024 and 85,050 is: 126,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 85,050 = 85,050 : x
  2. Step 2: Convert to fraction form
    57,024/85,050 = 85,050/x
  3. Step 3: Cross multiply
    57,024x = 85,050 × 85,050
  4. Step 4: Simplify right side
    57,024x = 7,233,502,500
  5. Step 5: Solve for x
    x = 7,233,502,500/57,024
  6. Step 6: Final answer
    x = 126,850.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.