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Finding the Third Proportional to 101,754 and 221,022

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Solution

The third proportional to 101,754 and 221,022 is: 480,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754 : 221,022 = 221,022 : x
  2. Step 2: Convert to fraction form
    101,754/221,022 = 221,022/x
  3. Step 3: Cross multiply
    101,754x = 221,022 × 221,022
  4. Step 4: Simplify right side
    101,754x = 48,850,724,484
  5. Step 5: Solve for x
    x = 48,850,724,484/101,754
  6. Step 6: Final answer
    x = 480,086.53

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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.