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Finding the Third Proportional to 131,843.25 and 186,680.25

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Solution

The third proportional to 131,843.25 and 186,680.25 is: 264,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,843.25 : 186,680.25 = 186,680.25 : x
  2. Step 2: Convert to fraction form
    131,843.25/186,680.25 = 186,680.25/x
  3. Step 3: Cross multiply
    131,843.25x = 186,680.25 × 186,680.25
  4. Step 4: Simplify right side
    131,843.25x = 34,849,515,740.06
  5. Step 5: Solve for x
    x = 34,849,515,740.06/131,843.25
  6. Step 6: Final answer
    x = 264,325.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.