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Finding the Third Proportional to 96,236 and 138,624

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Solution

The third proportional to 96,236 and 138,624 is: 199,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,236 : 138,624 = 138,624 : x
  2. Step 2: Convert to fraction form
    96,236/138,624 = 138,624/x
  3. Step 3: Cross multiply
    96,236x = 138,624 × 138,624
  4. Step 4: Simplify right side
    96,236x = 19,216,613,376
  5. Step 5: Solve for x
    x = 19,216,613,376/96,236
  6. Step 6: Final answer
    x = 199,682.17

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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.