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Finding the Third Proportional to 109,759 and 235,881

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Solution

The third proportional to 109,759 and 235,881 is: 506,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,759 : 235,881 = 235,881 : x
  2. Step 2: Convert to fraction form
    109,759/235,881 = 235,881/x
  3. Step 3: Cross multiply
    109,759x = 235,881 × 235,881
  4. Step 4: Simplify right side
    109,759x = 55,639,846,161
  5. Step 5: Solve for x
    x = 55,639,846,161/109,759
  6. Step 6: Final answer
    x = 506,927.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.