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Finding the Third Proportional to 60,392 and 128,092

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Solution

The third proportional to 60,392 and 128,092 is: 271,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,392 : 128,092 = 128,092 : x
  2. Step 2: Convert to fraction form
    60,392/128,092 = 128,092/x
  3. Step 3: Cross multiply
    60,392x = 128,092 × 128,092
  4. Step 4: Simplify right side
    60,392x = 16,407,560,464
  5. Step 5: Solve for x
    x = 16,407,560,464/60,392
  6. Step 6: Final answer
    x = 271,684.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.