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Finding the Third Proportional to 112,806 and 174,393

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Solution

The third proportional to 112,806 and 174,393 is: 269,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806 : 174,393 = 174,393 : x
  2. Step 2: Convert to fraction form
    112,806/174,393 = 174,393/x
  3. Step 3: Cross multiply
    112,806x = 174,393 × 174,393
  4. Step 4: Simplify right side
    112,806x = 30,412,918,449
  5. Step 5: Solve for x
    x = 30,412,918,449/112,806
  6. Step 6: Final answer
    x = 269,603.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.