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Finding the Third Proportional to 44,588 and 92,632

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Solution

The third proportional to 44,588 and 92,632 is: 192,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,588 : 92,632 = 92,632 : x
  2. Step 2: Convert to fraction form
    44,588/92,632 = 92,632/x
  3. Step 3: Cross multiply
    44,588x = 92,632 × 92,632
  4. Step 4: Simplify right side
    44,588x = 8,580,687,424
  5. Step 5: Solve for x
    x = 8,580,687,424/44,588
  6. Step 6: Final answer
    x = 192,443.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.