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Finding the Third Proportional to 95,717 and 140,614

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Solution

The third proportional to 95,717 and 140,614 is: 206,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,717 : 140,614 = 140,614 : x
  2. Step 2: Convert to fraction form
    95,717/140,614 = 140,614/x
  3. Step 3: Cross multiply
    95,717x = 140,614 × 140,614
  4. Step 4: Simplify right side
    95,717x = 19,772,296,996
  5. Step 5: Solve for x
    x = 19,772,296,996/95,717
  6. Step 6: Final answer
    x = 206,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.