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Finding the Third Proportional to 60,006 and 138,917.25

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Solution

The third proportional to 60,006 and 138,917.25 is: 321,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,006 : 138,917.25 = 138,917.25 : x
  2. Step 2: Convert to fraction form
    60,006/138,917.25 = 138,917.25/x
  3. Step 3: Cross multiply
    60,006x = 138,917.25 × 138,917.25
  4. Step 4: Simplify right side
    60,006x = 19,298,002,347.56
  5. Step 5: Solve for x
    x = 19,298,002,347.56/60,006
  6. Step 6: Final answer
    x = 321,601.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.