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Finding the Third Proportional to 96,641 and 136,092

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Solution

The third proportional to 96,641 and 136,092 is: 191,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,641 : 136,092 = 136,092 : x
  2. Step 2: Convert to fraction form
    96,641/136,092 = 136,092/x
  3. Step 3: Cross multiply
    96,641x = 136,092 × 136,092
  4. Step 4: Simplify right side
    96,641x = 18,521,032,464
  5. Step 5: Solve for x
    x = 18,521,032,464/96,641
  6. Step 6: Final answer
    x = 191,647.77

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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.