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Finding the Third Proportional to 106,012 and 164,778

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Solution

The third proportional to 106,012 and 164,778 is: 256,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,012 : 164,778 = 164,778 : x
  2. Step 2: Convert to fraction form
    106,012/164,778 = 164,778/x
  3. Step 3: Cross multiply
    106,012x = 164,778 × 164,778
  4. Step 4: Simplify right side
    106,012x = 27,151,789,284
  5. Step 5: Solve for x
    x = 27,151,789,284/106,012
  6. Step 6: Final answer
    x = 256,119.96

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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.