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Finding the Third Proportional to 119,504 and 162,384

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Solution

The third proportional to 119,504 and 162,384 is: 220,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,504 : 162,384 = 162,384 : x
  2. Step 2: Convert to fraction form
    119,504/162,384 = 162,384/x
  3. Step 3: Cross multiply
    119,504x = 162,384 × 162,384
  4. Step 4: Simplify right side
    119,504x = 26,368,563,456
  5. Step 5: Solve for x
    x = 26,368,563,456/119,504
  6. Step 6: Final answer
    x = 220,650.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.