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Finding the Third Proportional to 45,971 and 68,092

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Solution

The third proportional to 45,971 and 68,092 is: 100,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971 : 68,092 = 68,092 : x
  2. Step 2: Convert to fraction form
    45,971/68,092 = 68,092/x
  3. Step 3: Cross multiply
    45,971x = 68,092 × 68,092
  4. Step 4: Simplify right side
    45,971x = 4,636,520,464
  5. Step 5: Solve for x
    x = 4,636,520,464/45,971
  6. Step 6: Final answer
    x = 100,857.51

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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.