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Finding the Third Proportional to 106,470 and 164,831

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Solution

The third proportional to 106,470 and 164,831 is: 255,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470 : 164,831 = 164,831 : x
  2. Step 2: Convert to fraction form
    106,470/164,831 = 164,831/x
  3. Step 3: Cross multiply
    106,470x = 164,831 × 164,831
  4. Step 4: Simplify right side
    106,470x = 27,169,258,561
  5. Step 5: Solve for x
    x = 27,169,258,561/106,470
  6. Step 6: Final answer
    x = 255,182.29

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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.