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Finding the Third Proportional to 65,193 and 103,621

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Solution

The third proportional to 65,193 and 103,621 is: 164,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193 : 103,621 = 103,621 : x
  2. Step 2: Convert to fraction form
    65,193/103,621 = 103,621/x
  3. Step 3: Cross multiply
    65,193x = 103,621 × 103,621
  4. Step 4: Simplify right side
    65,193x = 10,737,311,641
  5. Step 5: Solve for x
    x = 10,737,311,641/65,193
  6. Step 6: Final answer
    x = 164,700.38

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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.