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Finding the Third Proportional to 72,006 and 107,721

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Solution

The third proportional to 72,006 and 107,721 is: 161,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006 : 107,721 = 107,721 : x
  2. Step 2: Convert to fraction form
    72,006/107,721 = 107,721/x
  3. Step 3: Cross multiply
    72,006x = 107,721 × 107,721
  4. Step 4: Simplify right side
    72,006x = 11,603,813,841
  5. Step 5: Solve for x
    x = 11,603,813,841/72,006
  6. Step 6: Final answer
    x = 161,150.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.