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Finding the Third Proportional to 43,671 and 102,657

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Solution

The third proportional to 43,671 and 102,657 is: 241,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,671 : 102,657 = 102,657 : x
  2. Step 2: Convert to fraction form
    43,671/102,657 = 102,657/x
  3. Step 3: Cross multiply
    43,671x = 102,657 × 102,657
  4. Step 4: Simplify right side
    43,671x = 10,538,459,649
  5. Step 5: Solve for x
    x = 10,538,459,649/43,671
  6. Step 6: Final answer
    x = 241,314.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.