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Finding the Third Proportional to 62,404 and 100,529

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Solution

The third proportional to 62,404 and 100,529 is: 161,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,404 : 100,529 = 100,529 : x
  2. Step 2: Convert to fraction form
    62,404/100,529 = 100,529/x
  3. Step 3: Cross multiply
    62,404x = 100,529 × 100,529
  4. Step 4: Simplify right side
    62,404x = 10,106,079,841
  5. Step 5: Solve for x
    x = 10,106,079,841/62,404
  6. Step 6: Final answer
    x = 161,946.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.