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Finding the Third Proportional to 119,826 and 172,611

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Solution

The third proportional to 119,826 and 172,611 is: 248,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,826 : 172,611 = 172,611 : x
  2. Step 2: Convert to fraction form
    119,826/172,611 = 172,611/x
  3. Step 3: Cross multiply
    119,826x = 172,611 × 172,611
  4. Step 4: Simplify right side
    119,826x = 29,794,557,321
  5. Step 5: Solve for x
    x = 29,794,557,321/119,826
  6. Step 6: Final answer
    x = 248,648.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.