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Finding the Third Proportional to 119,727 and 255,006

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Solution

The third proportional to 119,727 and 255,006 is: 543,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,727 : 255,006 = 255,006 : x
  2. Step 2: Convert to fraction form
    119,727/255,006 = 255,006/x
  3. Step 3: Cross multiply
    119,727x = 255,006 × 255,006
  4. Step 4: Simplify right side
    119,727x = 65,028,060,036
  5. Step 5: Solve for x
    x = 65,028,060,036/119,727
  6. Step 6: Final answer
    x = 543,136.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.