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Finding the Third Proportional to 119,946 and 176,027

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Solution

The third proportional to 119,946 and 176,027 is: 258,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,946 : 176,027 = 176,027 : x
  2. Step 2: Convert to fraction form
    119,946/176,027 = 176,027/x
  3. Step 3: Cross multiply
    119,946x = 176,027 × 176,027
  4. Step 4: Simplify right side
    119,946x = 30,985,504,729
  5. Step 5: Solve for x
    x = 30,985,504,729/119,946
  6. Step 6: Final answer
    x = 258,328.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.