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Finding the Third Proportional to 81,032 and 122,666

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Solution

The third proportional to 81,032 and 122,666 is: 185,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,032 : 122,666 = 122,666 : x
  2. Step 2: Convert to fraction form
    81,032/122,666 = 122,666/x
  3. Step 3: Cross multiply
    81,032x = 122,666 × 122,666
  4. Step 4: Simplify right side
    81,032x = 15,046,947,556
  5. Step 5: Solve for x
    x = 15,046,947,556/81,032
  6. Step 6: Final answer
    x = 185,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.