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Finding the Third Proportional to 131,425.03 and 185,963.34

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Solution

The third proportional to 131,425.03 and 185,963.34 is: 263,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,425.03 : 185,963.34 = 185,963.34 : x
  2. Step 2: Convert to fraction form
    131,425.03/185,963.34 = 185,963.34/x
  3. Step 3: Cross multiply
    131,425.03x = 185,963.34 × 185,963.34
  4. Step 4: Simplify right side
    131,425.03x = 34,582,365,218.68
  5. Step 5: Solve for x
    x = 34,582,365,218.68/131,425.03
  6. Step 6: Final answer
    x = 263,133.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.