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Finding the Third Proportional to 85,256 and 127,628

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Solution

The third proportional to 85,256 and 127,628 is: 191,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,256 : 127,628 = 127,628 : x
  2. Step 2: Convert to fraction form
    85,256/127,628 = 127,628/x
  3. Step 3: Cross multiply
    85,256x = 127,628 × 127,628
  4. Step 4: Simplify right side
    85,256x = 16,288,906,384
  5. Step 5: Solve for x
    x = 16,288,906,384/85,256
  6. Step 6: Final answer
    x = 191,058.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.