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Finding the Third Proportional to 103,764 and 145,723

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Solution

The third proportional to 103,764 and 145,723 is: 204,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,764 : 145,723 = 145,723 : x
  2. Step 2: Convert to fraction form
    103,764/145,723 = 145,723/x
  3. Step 3: Cross multiply
    103,764x = 145,723 × 145,723
  4. Step 4: Simplify right side
    103,764x = 21,235,192,729
  5. Step 5: Solve for x
    x = 21,235,192,729/103,764
  6. Step 6: Final answer
    x = 204,648.94

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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.