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Finding the Third Proportional to 96,238 and 138,628

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Solution

The third proportional to 96,238 and 138,628 is: 199,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238 : 138,628 = 138,628 : x
  2. Step 2: Convert to fraction form
    96,238/138,628 = 138,628/x
  3. Step 3: Cross multiply
    96,238x = 138,628 × 138,628
  4. Step 4: Simplify right side
    96,238x = 19,217,722,384
  5. Step 5: Solve for x
    x = 19,217,722,384/96,238
  6. Step 6: Final answer
    x = 199,689.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.