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Finding the Third Proportional to 74,192 and 113,744

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Solution

The third proportional to 74,192 and 113,744 is: 174,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192 : 113,744 = 113,744 : x
  2. Step 2: Convert to fraction form
    74,192/113,744 = 113,744/x
  3. Step 3: Cross multiply
    74,192x = 113,744 × 113,744
  4. Step 4: Simplify right side
    74,192x = 12,937,697,536
  5. Step 5: Solve for x
    x = 12,937,697,536/74,192
  6. Step 6: Final answer
    x = 174,381.30

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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.