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Finding the Third Proportional to 131,444 and 185,992

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Solution

The third proportional to 131,444 and 185,992 is: 263,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,444 : 185,992 = 185,992 : x
  2. Step 2: Convert to fraction form
    131,444/185,992 = 185,992/x
  3. Step 3: Cross multiply
    131,444x = 185,992 × 185,992
  4. Step 4: Simplify right side
    131,444x = 34,593,024,064
  5. Step 5: Solve for x
    x = 34,593,024,064/131,444
  6. Step 6: Final answer
    x = 263,176.90

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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.