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Finding the Third Proportional to 106,412 and 164,764

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Solution

The third proportional to 106,412 and 164,764 is: 255,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412 : 164,764 = 164,764 : x
  2. Step 2: Convert to fraction form
    106,412/164,764 = 164,764/x
  3. Step 3: Cross multiply
    106,412x = 164,764 × 164,764
  4. Step 4: Simplify right side
    106,412x = 27,147,175,696
  5. Step 5: Solve for x
    x = 27,147,175,696/106,412
  6. Step 6: Final answer
    x = 255,113.86

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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.