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Finding the Third Proportional to 42,397 and 92,083

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Solution

The third proportional to 42,397 and 92,083 is: 199,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397 : 92,083 = 92,083 : x
  2. Step 2: Convert to fraction form
    42,397/92,083 = 92,083/x
  3. Step 3: Cross multiply
    42,397x = 92,083 × 92,083
  4. Step 4: Simplify right side
    42,397x = 8,479,278,889
  5. Step 5: Solve for x
    x = 8,479,278,889/42,397
  6. Step 6: Final answer
    x = 199,997.14

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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.