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Finding the Third Proportional to 119,050 and 179,789

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Solution

The third proportional to 119,050 and 179,789 is: 271,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,050 : 179,789 = 179,789 : x
  2. Step 2: Convert to fraction form
    119,050/179,789 = 179,789/x
  3. Step 3: Cross multiply
    119,050x = 179,789 × 179,789
  4. Step 4: Simplify right side
    119,050x = 32,324,084,521
  5. Step 5: Solve for x
    x = 32,324,084,521/119,050
  6. Step 6: Final answer
    x = 271,516.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.