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Finding the Third Proportional to 149,866 and 164,810

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Solution

The third proportional to 149,866 and 164,810 is: 181,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866 : 164,810 = 164,810 : x
  2. Step 2: Convert to fraction form
    149,866/164,810 = 164,810/x
  3. Step 3: Cross multiply
    149,866x = 164,810 × 164,810
  4. Step 4: Simplify right side
    149,866x = 27,162,336,100
  5. Step 5: Solve for x
    x = 27,162,336,100/149,866
  6. Step 6: Final answer
    x = 181,244.15

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.