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Finding the Third Proportional to 35,222 and 75,451

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Solution

The third proportional to 35,222 and 75,451 is: 161,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,222 : 75,451 = 75,451 : x
  2. Step 2: Convert to fraction form
    35,222/75,451 = 75,451/x
  3. Step 3: Cross multiply
    35,222x = 75,451 × 75,451
  4. Step 4: Simplify right side
    35,222x = 5,692,853,401
  5. Step 5: Solve for x
    x = 5,692,853,401/35,222
  6. Step 6: Final answer
    x = 161,627.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.