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Finding the Third Proportional to 92,862 and 131,274

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Solution

The third proportional to 92,862 and 131,274 is: 185,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,862 : 131,274 = 131,274 : x
  2. Step 2: Convert to fraction form
    92,862/131,274 = 131,274/x
  3. Step 3: Cross multiply
    92,862x = 131,274 × 131,274
  4. Step 4: Simplify right side
    92,862x = 17,232,863,076
  5. Step 5: Solve for x
    x = 17,232,863,076/92,862
  6. Step 6: Final answer
    x = 185,574.97

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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.