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Finding the Third Proportional to 34,101 and 73,467

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Solution

The third proportional to 34,101 and 73,467 is: 158,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101 : 73,467 = 73,467 : x
  2. Step 2: Convert to fraction form
    34,101/73,467 = 73,467/x
  3. Step 3: Cross multiply
    34,101x = 73,467 × 73,467
  4. Step 4: Simplify right side
    34,101x = 5,397,400,089
  5. Step 5: Solve for x
    x = 5,397,400,089/34,101
  6. Step 6: Final answer
    x = 158,276.89

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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.