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Finding the Third Proportional to 36,699 and 73,971

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Solution

The third proportional to 36,699 and 73,971 is: 149,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699 : 73,971 = 73,971 : x
  2. Step 2: Convert to fraction form
    36,699/73,971 = 73,971/x
  3. Step 3: Cross multiply
    36,699x = 73,971 × 73,971
  4. Step 4: Simplify right side
    36,699x = 5,471,708,841
  5. Step 5: Solve for x
    x = 5,471,708,841/36,699
  6. Step 6: Final answer
    x = 149,096.95

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.