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Finding the Third Proportional to 34,215 and 73,542

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Solution

The third proportional to 34,215 and 73,542 is: 158,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215 : 73,542 = 73,542 : x
  2. Step 2: Convert to fraction form
    34,215/73,542 = 73,542/x
  3. Step 3: Cross multiply
    34,215x = 73,542 × 73,542
  4. Step 4: Simplify right side
    34,215x = 5,408,425,764
  5. Step 5: Solve for x
    x = 5,408,425,764/34,215
  6. Step 6: Final answer
    x = 158,071.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.