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Finding the Third Proportional to 62,074 and 133,992

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Solution

The third proportional to 62,074 and 133,992 is: 289,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,074 : 133,992 = 133,992 : x
  2. Step 2: Convert to fraction form
    62,074/133,992 = 133,992/x
  3. Step 3: Cross multiply
    62,074x = 133,992 × 133,992
  4. Step 4: Simplify right side
    62,074x = 17,953,856,064
  5. Step 5: Solve for x
    x = 17,953,856,064/62,074
  6. Step 6: Final answer
    x = 289,233.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.