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Finding the Third Proportional to 107,003 and 253,049

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Solution

The third proportional to 107,003 and 253,049 is: 598,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,003 : 253,049 = 253,049 : x
  2. Step 2: Convert to fraction form
    107,003/253,049 = 253,049/x
  3. Step 3: Cross multiply
    107,003x = 253,049 × 253,049
  4. Step 4: Simplify right side
    107,003x = 64,033,796,401
  5. Step 5: Solve for x
    x = 64,033,796,401/107,003
  6. Step 6: Final answer
    x = 598,429.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.