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Finding the Third Proportional to 73,996 and 120,221

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Solution

The third proportional to 73,996 and 120,221 is: 195,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996 : 120,221 = 120,221 : x
  2. Step 2: Convert to fraction form
    73,996/120,221 = 120,221/x
  3. Step 3: Cross multiply
    73,996x = 120,221 × 120,221
  4. Step 4: Simplify right side
    73,996x = 14,453,088,841
  5. Step 5: Solve for x
    x = 14,453,088,841/73,996
  6. Step 6: Final answer
    x = 195,322.57

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.