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Finding the Third Proportional to 95,400 and 207,201

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Solution

The third proportional to 95,400 and 207,201 is: 450,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,400 : 207,201 = 207,201 : x
  2. Step 2: Convert to fraction form
    95,400/207,201 = 207,201/x
  3. Step 3: Cross multiply
    95,400x = 207,201 × 207,201
  4. Step 4: Simplify right side
    95,400x = 42,932,254,401
  5. Step 5: Solve for x
    x = 42,932,254,401/95,400
  6. Step 6: Final answer
    x = 450,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.