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Finding the Third Proportional to 119,511 and 180,192.38

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Solution

The third proportional to 119,511 and 180,192.38 is: 271,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,511 : 180,192.38 = 180,192.38 : x
  2. Step 2: Convert to fraction form
    119,511/180,192.38 = 180,192.38/x
  3. Step 3: Cross multiply
    119,511x = 180,192.38 × 180,192.38
  4. Step 4: Simplify right side
    119,511x = 32,469,292,008.14
  5. Step 5: Solve for x
    x = 32,469,292,008.14/119,511
  6. Step 6: Final answer
    x = 271,684.55

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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.