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Finding the Third Proportional to 72,392 and 110,744

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Solution

The third proportional to 72,392 and 110,744 is: 169,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,392 : 110,744 = 110,744 : x
  2. Step 2: Convert to fraction form
    72,392/110,744 = 110,744/x
  3. Step 3: Cross multiply
    72,392x = 110,744 × 110,744
  4. Step 4: Simplify right side
    72,392x = 12,264,233,536
  5. Step 5: Solve for x
    x = 12,264,233,536/72,392
  6. Step 6: Final answer
    x = 169,414.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.