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Finding the Third Proportional to 96,652 and 136,108

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Solution

The third proportional to 96,652 and 136,108 is: 191,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,652 : 136,108 = 136,108 : x
  2. Step 2: Convert to fraction form
    96,652/136,108 = 136,108/x
  3. Step 3: Cross multiply
    96,652x = 136,108 × 136,108
  4. Step 4: Simplify right side
    96,652x = 18,525,387,664
  5. Step 5: Solve for x
    x = 18,525,387,664/96,652
  6. Step 6: Final answer
    x = 191,671.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.