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Finding the Third Proportional to 73,797 and 103,554

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Solution

The third proportional to 73,797 and 103,554 is: 145,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,797 : 103,554 = 103,554 : x
  2. Step 2: Convert to fraction form
    73,797/103,554 = 103,554/x
  3. Step 3: Cross multiply
    73,797x = 103,554 × 103,554
  4. Step 4: Simplify right side
    73,797x = 10,723,430,916
  5. Step 5: Solve for x
    x = 10,723,430,916/73,797
  6. Step 6: Final answer
    x = 145,309.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.