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Finding the Third Proportional to 30,193 and 65,871

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Solution

The third proportional to 30,193 and 65,871 is: 143,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193 : 65,871 = 65,871 : x
  2. Step 2: Convert to fraction form
    30,193/65,871 = 65,871/x
  3. Step 3: Cross multiply
    30,193x = 65,871 × 65,871
  4. Step 4: Simplify right side
    30,193x = 4,338,988,641
  5. Step 5: Solve for x
    x = 4,338,988,641/30,193
  6. Step 6: Final answer
    x = 143,708.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.