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Finding the Third Proportional to 96,600 and 136,800

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Solution

The third proportional to 96,600 and 136,800 is: 193,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,600 : 136,800 = 136,800 : x
  2. Step 2: Convert to fraction form
    96,600/136,800 = 136,800/x
  3. Step 3: Cross multiply
    96,600x = 136,800 × 136,800
  4. Step 4: Simplify right side
    96,600x = 18,714,240,000
  5. Step 5: Solve for x
    x = 18,714,240,000/96,600
  6. Step 6: Final answer
    x = 193,729.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.