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Finding the Third Proportional to 134,042 and 279,109

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Solution

The third proportional to 134,042 and 279,109 is: 581,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,042 : 279,109 = 279,109 : x
  2. Step 2: Convert to fraction form
    134,042/279,109 = 279,109/x
  3. Step 3: Cross multiply
    134,042x = 279,109 × 279,109
  4. Step 4: Simplify right side
    134,042x = 77,901,833,881
  5. Step 5: Solve for x
    x = 77,901,833,881/134,042
  6. Step 6: Final answer
    x = 581,174.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.