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Finding the Third Proportional to 96,686 and 140,823

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Solution

The third proportional to 96,686 and 140,823 is: 205,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,686 : 140,823 = 140,823 : x
  2. Step 2: Convert to fraction form
    96,686/140,823 = 140,823/x
  3. Step 3: Cross multiply
    96,686x = 140,823 × 140,823
  4. Step 4: Simplify right side
    96,686x = 19,831,117,329
  5. Step 5: Solve for x
    x = 19,831,117,329/96,686
  6. Step 6: Final answer
    x = 205,108.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.