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Finding the Third Proportional to 133,936 and 207,201

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Solution

The third proportional to 133,936 and 207,201 is: 320,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,936 : 207,201 = 207,201 : x
  2. Step 2: Convert to fraction form
    133,936/207,201 = 207,201/x
  3. Step 3: Cross multiply
    133,936x = 207,201 × 207,201
  4. Step 4: Simplify right side
    133,936x = 42,932,254,401
  5. Step 5: Solve for x
    x = 42,932,254,401/133,936
  6. Step 6: Final answer
    x = 320,543.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.