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Finding the Third Proportional to 109,736 and 174,121

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Solution

The third proportional to 109,736 and 174,121 is: 276,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,736 : 174,121 = 174,121 : x
  2. Step 2: Convert to fraction form
    109,736/174,121 = 174,121/x
  3. Step 3: Cross multiply
    109,736x = 174,121 × 174,121
  4. Step 4: Simplify right side
    109,736x = 30,318,122,641
  5. Step 5: Solve for x
    x = 30,318,122,641/109,736
  6. Step 6: Final answer
    x = 276,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.