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Finding the Third Proportional to 70,247 and 107,717

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Solution

The third proportional to 70,247 and 107,717 is: 165,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,247 : 107,717 = 107,717 : x
  2. Step 2: Convert to fraction form
    70,247/107,717 = 107,717/x
  3. Step 3: Cross multiply
    70,247x = 107,717 × 107,717
  4. Step 4: Simplify right side
    70,247x = 11,602,952,089
  5. Step 5: Solve for x
    x = 11,602,952,089/70,247
  6. Step 6: Final answer
    x = 165,173.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.