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Finding the Third Proportional to 103,523 and 145,744

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Solution

The third proportional to 103,523 and 145,744 is: 205,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,523 : 145,744 = 145,744 : x
  2. Step 2: Convert to fraction form
    103,523/145,744 = 145,744/x
  3. Step 3: Cross multiply
    103,523x = 145,744 × 145,744
  4. Step 4: Simplify right side
    103,523x = 21,241,313,536
  5. Step 5: Solve for x
    x = 21,241,313,536/103,523
  6. Step 6: Final answer
    x = 205,184.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.