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Finding the Third Proportional to 103,699 and 158,825

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Solution

The third proportional to 103,699 and 158,825 is: 243,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 158,825 = 158,825 : x
  2. Step 2: Convert to fraction form
    103,699/158,825 = 158,825/x
  3. Step 3: Cross multiply
    103,699x = 158,825 × 158,825
  4. Step 4: Simplify right side
    103,699x = 25,225,380,625
  5. Step 5: Solve for x
    x = 25,225,380,625/103,699
  6. Step 6: Final answer
    x = 243,255.78

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