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Finding the Third Proportional to 51,897 and 112,866

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Solution

The third proportional to 51,897 and 112,866 is: 245,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,897 : 112,866 = 112,866 : x
  2. Step 2: Convert to fraction form
    51,897/112,866 = 112,866/x
  3. Step 3: Cross multiply
    51,897x = 112,866 × 112,866
  4. Step 4: Simplify right side
    51,897x = 12,738,733,956
  5. Step 5: Solve for x
    x = 12,738,733,956/51,897
  6. Step 6: Final answer
    x = 245,461.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.