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Finding the Third Proportional to 106,472 and 164,832

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Solution

The third proportional to 106,472 and 164,832 is: 255,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472 : 164,832 = 164,832 : x
  2. Step 2: Convert to fraction form
    106,472/164,832 = 164,832/x
  3. Step 3: Cross multiply
    106,472x = 164,832 × 164,832
  4. Step 4: Simplify right side
    106,472x = 27,169,588,224
  5. Step 5: Solve for x
    x = 27,169,588,224/106,472
  6. Step 6: Final answer
    x = 255,180.59

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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.