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Finding the Third Proportional to 102,798 and 158,866

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Solution

The third proportional to 102,798 and 158,866 is: 245,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798 : 158,866 = 158,866 : x
  2. Step 2: Convert to fraction form
    102,798/158,866 = 158,866/x
  3. Step 3: Cross multiply
    102,798x = 158,866 × 158,866
  4. Step 4: Simplify right side
    102,798x = 25,238,405,956
  5. Step 5: Solve for x
    x = 25,238,405,956/102,798
  6. Step 6: Final answer
    x = 245,514.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.