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Finding the Third Proportional to 125,966 and 176,109

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Solution

The third proportional to 125,966 and 176,109 is: 246,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,966 : 176,109 = 176,109 : x
  2. Step 2: Convert to fraction form
    125,966/176,109 = 176,109/x
  3. Step 3: Cross multiply
    125,966x = 176,109 × 176,109
  4. Step 4: Simplify right side
    125,966x = 31,014,379,881
  5. Step 5: Solve for x
    x = 31,014,379,881/125,966
  6. Step 6: Final answer
    x = 246,212.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.