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Finding the Third Proportional to 51,462 and 81,801

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Solution

The third proportional to 51,462 and 81,801 is: 130,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462 : 81,801 = 81,801 : x
  2. Step 2: Convert to fraction form
    51,462/81,801 = 81,801/x
  3. Step 3: Cross multiply
    51,462x = 81,801 × 81,801
  4. Step 4: Simplify right side
    51,462x = 6,691,403,601
  5. Step 5: Solve for x
    x = 6,691,403,601/51,462
  6. Step 6: Final answer
    x = 130,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.