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Finding the Third Proportional to 131,851 and 273,042

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Solution

The third proportional to 131,851 and 273,042 is: 565,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,851 : 273,042 = 273,042 : x
  2. Step 2: Convert to fraction form
    131,851/273,042 = 273,042/x
  3. Step 3: Cross multiply
    131,851x = 273,042 × 273,042
  4. Step 4: Simplify right side
    131,851x = 74,551,933,764
  5. Step 5: Solve for x
    x = 74,551,933,764/131,851
  6. Step 6: Final answer
    x = 565,425.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.