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Finding the Third Proportional to 57,372 and 85,446

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Solution

The third proportional to 57,372 and 85,446 is: 127,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 85,446 = 85,446 : x
  2. Step 2: Convert to fraction form
    57,372/85,446 = 85,446/x
  3. Step 3: Cross multiply
    57,372x = 85,446 × 85,446
  4. Step 4: Simplify right side
    57,372x = 7,301,018,916
  5. Step 5: Solve for x
    x = 7,301,018,916/57,372
  6. Step 6: Final answer
    x = 127,257.53

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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.