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Finding the Third Proportional to 67,853 and 97,375

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Solution

The third proportional to 67,853 and 97,375 is: 139,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,853 : 97,375 = 97,375 : x
  2. Step 2: Convert to fraction form
    67,853/97,375 = 97,375/x
  3. Step 3: Cross multiply
    67,853x = 97,375 × 97,375
  4. Step 4: Simplify right side
    67,853x = 9,481,890,625
  5. Step 5: Solve for x
    x = 9,481,890,625/67,853
  6. Step 6: Final answer
    x = 139,741.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.