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Finding the Third Proportional to 119,934 and 179,253

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Solution

The third proportional to 119,934 and 179,253 is: 267,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,934 : 179,253 = 179,253 : x
  2. Step 2: Convert to fraction form
    119,934/179,253 = 179,253/x
  3. Step 3: Cross multiply
    119,934x = 179,253 × 179,253
  4. Step 4: Simplify right side
    119,934x = 32,131,638,009
  5. Step 5: Solve for x
    x = 32,131,638,009/119,934
  6. Step 6: Final answer
    x = 267,911.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.