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Finding the Third Proportional to 107,031 and 253,569

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Solution

The third proportional to 107,031 and 253,569 is: 600,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,031 : 253,569 = 253,569 : x
  2. Step 2: Convert to fraction form
    107,031/253,569 = 253,569/x
  3. Step 3: Cross multiply
    107,031x = 253,569 × 253,569
  4. Step 4: Simplify right side
    107,031x = 64,297,237,761
  5. Step 5: Solve for x
    x = 64,297,237,761/107,031
  6. Step 6: Final answer
    x = 600,734.72

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.