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Finding the Third Proportional to 35,218 and 76,966

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Solution

The third proportional to 35,218 and 76,966 is: 168,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 76,966 = 76,966 : x
  2. Step 2: Convert to fraction form
    35,218/76,966 = 76,966/x
  3. Step 3: Cross multiply
    35,218x = 76,966 × 76,966
  4. Step 4: Simplify right side
    35,218x = 5,923,765,156
  5. Step 5: Solve for x
    x = 5,923,765,156/35,218
  6. Step 6: Final answer
    x = 168,202.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.