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Finding the Third Proportional to 43,769 and 96,049

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Solution

The third proportional to 43,769 and 96,049 is: 210,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 96,049 = 96,049 : x
  2. Step 2: Convert to fraction form
    43,769/96,049 = 96,049/x
  3. Step 3: Cross multiply
    43,769x = 96,049 × 96,049
  4. Step 4: Simplify right side
    43,769x = 9,225,410,401
  5. Step 5: Solve for x
    x = 9,225,410,401/43,769
  6. Step 6: Final answer
    x = 210,774.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.