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Finding the Third Proportional to 109,448 and 164,794

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Solution

The third proportional to 109,448 and 164,794 is: 248,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,448 : 164,794 = 164,794 : x
  2. Step 2: Convert to fraction form
    109,448/164,794 = 164,794/x
  3. Step 3: Cross multiply
    109,448x = 164,794 × 164,794
  4. Step 4: Simplify right side
    109,448x = 27,157,062,436
  5. Step 5: Solve for x
    x = 27,157,062,436/109,448
  6. Step 6: Final answer
    x = 248,127.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.