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Finding the Third Proportional to 109,571 and 164,357

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Solution

The third proportional to 109,571 and 164,357 is: 246,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,571 : 164,357 = 164,357 : x
  2. Step 2: Convert to fraction form
    109,571/164,357 = 164,357/x
  3. Step 3: Cross multiply
    109,571x = 164,357 × 164,357
  4. Step 4: Simplify right side
    109,571x = 27,013,223,449
  5. Step 5: Solve for x
    x = 27,013,223,449/109,571
  6. Step 6: Final answer
    x = 246,536.25

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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.