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Finding the Third Proportional to 101,772 and 223,737

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Solution

The third proportional to 101,772 and 223,737 is: 491,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772 : 223,737 = 223,737 : x
  2. Step 2: Convert to fraction form
    101,772/223,737 = 223,737/x
  3. Step 3: Cross multiply
    101,772x = 223,737 × 223,737
  4. Step 4: Simplify right side
    101,772x = 50,058,245,169
  5. Step 5: Solve for x
    x = 50,058,245,169/101,772
  6. Step 6: Final answer
    x = 491,866.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.