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Finding the Third Proportional to 100,724 and 209,824

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Solution

The third proportional to 100,724 and 209,824 is: 437,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,724 : 209,824 = 209,824 : x
  2. Step 2: Convert to fraction form
    100,724/209,824 = 209,824/x
  3. Step 3: Cross multiply
    100,724x = 209,824 × 209,824
  4. Step 4: Simplify right side
    100,724x = 44,026,110,976
  5. Step 5: Solve for x
    x = 44,026,110,976/100,724
  6. Step 6: Final answer
    x = 437,096.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.