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Finding the Third Proportional to 119,682 and 177,212

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Solution

The third proportional to 119,682 and 177,212 is: 262,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682 : 177,212 = 177,212 : x
  2. Step 2: Convert to fraction form
    119,682/177,212 = 177,212/x
  3. Step 3: Cross multiply
    119,682x = 177,212 × 177,212
  4. Step 4: Simplify right side
    119,682x = 31,404,092,944
  5. Step 5: Solve for x
    x = 31,404,092,944/119,682
  6. Step 6: Final answer
    x = 262,396.12

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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.