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Finding the Third Proportional to 42,727 and 93,512

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Solution

The third proportional to 42,727 and 93,512 is: 204,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727 : 93,512 = 93,512 : x
  2. Step 2: Convert to fraction form
    42,727/93,512 = 93,512/x
  3. Step 3: Cross multiply
    42,727x = 93,512 × 93,512
  4. Step 4: Simplify right side
    42,727x = 8,744,494,144
  5. Step 5: Solve for x
    x = 8,744,494,144/42,727
  6. Step 6: Final answer
    x = 204,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.