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Finding the Third Proportional to 104,895 and 160,866

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Solution

The third proportional to 104,895 and 160,866 is: 246,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 160,866 = 160,866 : x
  2. Step 2: Convert to fraction form
    104,895/160,866 = 160,866/x
  3. Step 3: Cross multiply
    104,895x = 160,866 × 160,866
  4. Step 4: Simplify right side
    104,895x = 25,877,869,956
  5. Step 5: Solve for x
    x = 25,877,869,956/104,895
  6. Step 6: Final answer
    x = 246,702.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.