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Finding the Third Proportional to 92,284 and 131,965

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Solution

The third proportional to 92,284 and 131,965 is: 188,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284 : 131,965 = 131,965 : x
  2. Step 2: Convert to fraction form
    92,284/131,965 = 131,965/x
  3. Step 3: Cross multiply
    92,284x = 131,965 × 131,965
  4. Step 4: Simplify right side
    92,284x = 17,414,761,225
  5. Step 5: Solve for x
    x = 17,414,761,225/92,284
  6. Step 6: Final answer
    x = 188,708.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.