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Finding the Third Proportional to 106,002 and 146,529

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Solution

The third proportional to 106,002 and 146,529 is: 202,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002 : 146,529 = 146,529 : x
  2. Step 2: Convert to fraction form
    106,002/146,529 = 146,529/x
  3. Step 3: Cross multiply
    106,002x = 146,529 × 146,529
  4. Step 4: Simplify right side
    106,002x = 21,470,747,841
  5. Step 5: Solve for x
    x = 21,470,747,841/106,002
  6. Step 6: Final answer
    x = 202,550.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.