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Finding the Third Proportional to 140,118 and 192,677

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Solution

The third proportional to 140,118 and 192,677 is: 264,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,118 : 192,677 = 192,677 : x
  2. Step 2: Convert to fraction form
    140,118/192,677 = 192,677/x
  3. Step 3: Cross multiply
    140,118x = 192,677 × 192,677
  4. Step 4: Simplify right side
    140,118x = 37,124,426,329
  5. Step 5: Solve for x
    x = 37,124,426,329/140,118
  6. Step 6: Final answer
    x = 264,951.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.