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Finding the Third Proportional to 81,802 and 120,006

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Solution

The third proportional to 81,802 and 120,006 is: 176,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802 : 120,006 = 120,006 : x
  2. Step 2: Convert to fraction form
    81,802/120,006 = 120,006/x
  3. Step 3: Cross multiply
    81,802x = 120,006 × 120,006
  4. Step 4: Simplify right side
    81,802x = 14,401,440,036
  5. Step 5: Solve for x
    x = 14,401,440,036/81,802
  6. Step 6: Final answer
    x = 176,052.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.