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Finding the Third Proportional to 40,697 and 87,975

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Solution

The third proportional to 40,697 and 87,975 is: 190,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697 : 87,975 = 87,975 : x
  2. Step 2: Convert to fraction form
    40,697/87,975 = 87,975/x
  3. Step 3: Cross multiply
    40,697x = 87,975 × 87,975
  4. Step 4: Simplify right side
    40,697x = 7,739,600,625
  5. Step 5: Solve for x
    x = 7,739,600,625/40,697
  6. Step 6: Final answer
    x = 190,176.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.