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Finding the Third Proportional to 57,372 and 82,632

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Solution

The third proportional to 57,372 and 82,632 is: 119,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 82,632 = 82,632 : x
  2. Step 2: Convert to fraction form
    57,372/82,632 = 82,632/x
  3. Step 3: Cross multiply
    57,372x = 82,632 × 82,632
  4. Step 4: Simplify right side
    57,372x = 6,828,047,424
  5. Step 5: Solve for x
    x = 6,828,047,424/57,372
  6. Step 6: Final answer
    x = 119,013.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.