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Finding the Third Proportional to 43,909 and 103,619

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Solution

The third proportional to 43,909 and 103,619 is: 244,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,909 : 103,619 = 103,619 : x
  2. Step 2: Convert to fraction form
    43,909/103,619 = 103,619/x
  3. Step 3: Cross multiply
    43,909x = 103,619 × 103,619
  4. Step 4: Simplify right side
    43,909x = 10,736,897,161
  5. Step 5: Solve for x
    x = 10,736,897,161/43,909
  6. Step 6: Final answer
    x = 244,526.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.