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Finding the Third Proportional to 101,745 and 221,004

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Solution

The third proportional to 101,745 and 221,004 is: 480,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745 : 221,004 = 221,004 : x
  2. Step 2: Convert to fraction form
    101,745/221,004 = 221,004/x
  3. Step 3: Cross multiply
    101,745x = 221,004 × 221,004
  4. Step 4: Simplify right side
    101,745x = 48,842,768,016
  5. Step 5: Solve for x
    x = 48,842,768,016/101,745
  6. Step 6: Final answer
    x = 480,050.79

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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.