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Finding the Third Proportional to 45,831 and 97,717

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Solution

The third proportional to 45,831 and 97,717 is: 208,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,831 : 97,717 = 97,717 : x
  2. Step 2: Convert to fraction form
    45,831/97,717 = 97,717/x
  3. Step 3: Cross multiply
    45,831x = 97,717 × 97,717
  4. Step 4: Simplify right side
    45,831x = 9,548,612,089
  5. Step 5: Solve for x
    x = 9,548,612,089/45,831
  6. Step 6: Final answer
    x = 208,343.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.