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Finding the Third Proportional to 121,006 and 263,006

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Solution

The third proportional to 121,006 and 263,006 is: 571,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,006 : 263,006 = 263,006 : x
  2. Step 2: Convert to fraction form
    121,006/263,006 = 263,006/x
  3. Step 3: Cross multiply
    121,006x = 263,006 × 263,006
  4. Step 4: Simplify right side
    121,006x = 69,172,156,036
  5. Step 5: Solve for x
    x = 69,172,156,036/121,006
  6. Step 6: Final answer
    x = 571,642.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.