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Finding the Third Proportional to 55,247 and 73,636

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Solution

The third proportional to 55,247 and 73,636 is: 98,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,247 : 73,636 = 73,636 : x
  2. Step 2: Convert to fraction form
    55,247/73,636 = 73,636/x
  3. Step 3: Cross multiply
    55,247x = 73,636 × 73,636
  4. Step 4: Simplify right side
    55,247x = 5,422,260,496
  5. Step 5: Solve for x
    x = 5,422,260,496/55,247
  6. Step 6: Final answer
    x = 98,145.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.