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Finding the Third Proportional to 57,675 and 85,176

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Solution

The third proportional to 57,675 and 85,176 is: 125,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675 : 85,176 = 85,176 : x
  2. Step 2: Convert to fraction form
    57,675/85,176 = 85,176/x
  3. Step 3: Cross multiply
    57,675x = 85,176 × 85,176
  4. Step 4: Simplify right side
    57,675x = 7,254,950,976
  5. Step 5: Solve for x
    x = 7,254,950,976/57,675
  6. Step 6: Final answer
    x = 125,790.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.