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Finding the Third Proportional to 31,170 and 66,717

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Solution

The third proportional to 31,170 and 66,717 is: 142,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170 : 66,717 = 66,717 : x
  2. Step 2: Convert to fraction form
    31,170/66,717 = 66,717/x
  3. Step 3: Cross multiply
    31,170x = 66,717 × 66,717
  4. Step 4: Simplify right side
    31,170x = 4,451,158,089
  5. Step 5: Solve for x
    x = 4,451,158,089/31,170
  6. Step 6: Final answer
    x = 142,802.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.