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Finding the Third Proportional to 42,194 and 62,641

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Solution

The third proportional to 42,194 and 62,641 is: 92,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,194 : 62,641 = 62,641 : x
  2. Step 2: Convert to fraction form
    42,194/62,641 = 62,641/x
  3. Step 3: Cross multiply
    42,194x = 62,641 × 62,641
  4. Step 4: Simplify right side
    42,194x = 3,923,894,881
  5. Step 5: Solve for x
    x = 3,923,894,881/42,194
  6. Step 6: Final answer
    x = 92,996.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.