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Finding the Third Proportional to 42,462 and 92,307

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Solution

The third proportional to 42,462 and 92,307 is: 200,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,462 : 92,307 = 92,307 : x
  2. Step 2: Convert to fraction form
    42,462/92,307 = 92,307/x
  3. Step 3: Cross multiply
    42,462x = 92,307 × 92,307
  4. Step 4: Simplify right side
    42,462x = 8,520,582,249
  5. Step 5: Solve for x
    x = 8,520,582,249/42,462
  6. Step 6: Final answer
    x = 200,663.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.