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Finding the Third Proportional to 43,932 and 103,657

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Solution

The third proportional to 43,932 and 103,657 is: 244,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,932 : 103,657 = 103,657 : x
  2. Step 2: Convert to fraction form
    43,932/103,657 = 103,657/x
  3. Step 3: Cross multiply
    43,932x = 103,657 × 103,657
  4. Step 4: Simplify right side
    43,932x = 10,744,773,649
  5. Step 5: Solve for x
    x = 10,744,773,649/43,932
  6. Step 6: Final answer
    x = 244,577.38

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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.