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Finding the Third Proportional to 45,224 and 69,966

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Solution

The third proportional to 45,224 and 69,966 is: 108,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224 : 69,966 = 69,966 : x
  2. Step 2: Convert to fraction form
    45,224/69,966 = 69,966/x
  3. Step 3: Cross multiply
    45,224x = 69,966 × 69,966
  4. Step 4: Simplify right side
    45,224x = 4,895,241,156
  5. Step 5: Solve for x
    x = 4,895,241,156/45,224
  6. Step 6: Final answer
    x = 108,244.32

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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.