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Finding the Third Proportional to 43,970 and 103,691

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Solution

The third proportional to 43,970 and 103,691 is: 244,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,970 : 103,691 = 103,691 : x
  2. Step 2: Convert to fraction form
    43,970/103,691 = 103,691/x
  3. Step 3: Cross multiply
    43,970x = 103,691 × 103,691
  4. Step 4: Simplify right side
    43,970x = 10,751,823,481
  5. Step 5: Solve for x
    x = 10,751,823,481/43,970
  6. Step 6: Final answer
    x = 244,526.35

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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.