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Finding the Third Proportional to 42,096 and 92,544

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Solution

The third proportional to 42,096 and 92,544 is: 203,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096 : 92,544 = 92,544 : x
  2. Step 2: Convert to fraction form
    42,096/92,544 = 92,544/x
  3. Step 3: Cross multiply
    42,096x = 92,544 × 92,544
  4. Step 4: Simplify right side
    42,096x = 8,564,391,936
  5. Step 5: Solve for x
    x = 8,564,391,936/42,096
  6. Step 6: Final answer
    x = 203,449.07

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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.