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Finding the Third Proportional to 112,813 and 169,244

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Solution

The third proportional to 112,813 and 169,244 is: 253,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,813 : 169,244 = 169,244 : x
  2. Step 2: Convert to fraction form
    112,813/169,244 = 169,244/x
  3. Step 3: Cross multiply
    112,813x = 169,244 × 169,244
  4. Step 4: Simplify right side
    112,813x = 28,643,531,536
  5. Step 5: Solve for x
    x = 28,643,531,536/112,813
  6. Step 6: Final answer
    x = 253,902.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.