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Finding the Third Proportional to 119,588 and 179,174

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Solution

The third proportional to 119,588 and 179,174 is: 268,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,588 : 179,174 = 179,174 : x
  2. Step 2: Convert to fraction form
    119,588/179,174 = 179,174/x
  3. Step 3: Cross multiply
    119,588x = 179,174 × 179,174
  4. Step 4: Simplify right side
    119,588x = 32,103,322,276
  5. Step 5: Solve for x
    x = 32,103,322,276/119,588
  6. Step 6: Final answer
    x = 268,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.