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Finding the Third Proportional to 35,128 and 82,922

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Solution

The third proportional to 35,128 and 82,922 is: 195,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,128 : 82,922 = 82,922 : x
  2. Step 2: Convert to fraction form
    35,128/82,922 = 82,922/x
  3. Step 3: Cross multiply
    35,128x = 82,922 × 82,922
  4. Step 4: Simplify right side
    35,128x = 6,876,058,084
  5. Step 5: Solve for x
    x = 6,876,058,084/35,128
  6. Step 6: Final answer
    x = 195,742.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.