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Finding the Third Proportional to 40,250 and 85,697

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Solution

The third proportional to 40,250 and 85,697 is: 182,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,250 : 85,697 = 85,697 : x
  2. Step 2: Convert to fraction form
    40,250/85,697 = 85,697/x
  3. Step 3: Cross multiply
    40,250x = 85,697 × 85,697
  4. Step 4: Simplify right side
    40,250x = 7,343,975,809
  5. Step 5: Solve for x
    x = 7,343,975,809/40,250
  6. Step 6: Final answer
    x = 182,459.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.