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Finding the Third Proportional to 73,541 and 155,749

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Solution

The third proportional to 73,541 and 155,749 is: 329,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,541 : 155,749 = 155,749 : x
  2. Step 2: Convert to fraction form
    73,541/155,749 = 155,749/x
  3. Step 3: Cross multiply
    73,541x = 155,749 × 155,749
  4. Step 4: Simplify right side
    73,541x = 24,257,751,001
  5. Step 5: Solve for x
    x = 24,257,751,001/73,541
  6. Step 6: Final answer
    x = 329,853.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.