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Finding the Third Proportional to 106,478 and 164,847

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Solution

The third proportional to 106,478 and 164,847 is: 255,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 164,847 = 164,847 : x
  2. Step 2: Convert to fraction form
    106,478/164,847 = 164,847/x
  3. Step 3: Cross multiply
    106,478x = 164,847 × 164,847
  4. Step 4: Simplify right side
    106,478x = 27,174,533,409
  5. Step 5: Solve for x
    x = 27,174,533,409/106,478
  6. Step 6: Final answer
    x = 255,212.66

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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.