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Finding the Third Proportional to 65,859.50 and 101,881

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Solution

The third proportional to 65,859.50 and 101,881 is: 157,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,859.50 : 101,881 = 101,881 : x
  2. Step 2: Convert to fraction form
    65,859.50/101,881 = 101,881/x
  3. Step 3: Cross multiply
    65,859.50x = 101,881 × 101,881
  4. Step 4: Simplify right side
    65,859.50x = 10,379,738,161
  5. Step 5: Solve for x
    x = 10,379,738,161/65,859.50
  6. Step 6: Final answer
    x = 157,604.27

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