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Finding the Third Proportional to 65,529 and 103,924

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Solution

The third proportional to 65,529 and 103,924 is: 164,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529 : 103,924 = 103,924 : x
  2. Step 2: Convert to fraction form
    65,529/103,924 = 103,924/x
  3. Step 3: Cross multiply
    65,529x = 103,924 × 103,924
  4. Step 4: Simplify right side
    65,529x = 10,800,197,776
  5. Step 5: Solve for x
    x = 10,800,197,776/65,529
  6. Step 6: Final answer
    x = 164,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.