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Finding the Third Proportional to 85,176 and 187,632

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Solution

The third proportional to 85,176 and 187,632 is: 413,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,176 : 187,632 = 187,632 : x
  2. Step 2: Convert to fraction form
    85,176/187,632 = 187,632/x
  3. Step 3: Cross multiply
    85,176x = 187,632 × 187,632
  4. Step 4: Simplify right side
    85,176x = 35,205,767,424
  5. Step 5: Solve for x
    x = 35,205,767,424/85,176
  6. Step 6: Final answer
    x = 413,329.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.