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Finding the Third Proportional to 36,258 and 76,866

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Solution

The third proportional to 36,258 and 76,866 is: 162,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,258 : 76,866 = 76,866 : x
  2. Step 2: Convert to fraction form
    36,258/76,866 = 76,866/x
  3. Step 3: Cross multiply
    36,258x = 76,866 × 76,866
  4. Step 4: Simplify right side
    36,258x = 5,908,381,956
  5. Step 5: Solve for x
    x = 5,908,381,956/36,258
  6. Step 6: Final answer
    x = 162,953.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.