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Finding the Third Proportional to 65,362 and 103,866

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Solution

The third proportional to 65,362 and 103,866 is: 165,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362 : 103,866 = 103,866 : x
  2. Step 2: Convert to fraction form
    65,362/103,866 = 103,866/x
  3. Step 3: Cross multiply
    65,362x = 103,866 × 103,866
  4. Step 4: Simplify right side
    65,362x = 10,788,145,956
  5. Step 5: Solve for x
    x = 10,788,145,956/65,362
  6. Step 6: Final answer
    x = 165,052.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.