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Finding the Third Proportional to 42,517 and 92,805

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Solution

The third proportional to 42,517 and 92,805 is: 202,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,517 : 92,805 = 92,805 : x
  2. Step 2: Convert to fraction form
    42,517/92,805 = 92,805/x
  3. Step 3: Cross multiply
    42,517x = 92,805 × 92,805
  4. Step 4: Simplify right side
    42,517x = 8,612,768,025
  5. Step 5: Solve for x
    x = 8,612,768,025/42,517
  6. Step 6: Final answer
    x = 202,572.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.