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Finding the Third Proportional to 43,507 and 92,162

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Solution

The third proportional to 43,507 and 92,162 is: 195,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507 : 92,162 = 92,162 : x
  2. Step 2: Convert to fraction form
    43,507/92,162 = 92,162/x
  3. Step 3: Cross multiply
    43,507x = 92,162 × 92,162
  4. Step 4: Simplify right side
    43,507x = 8,493,834,244
  5. Step 5: Solve for x
    x = 8,493,834,244/43,507
  6. Step 6: Final answer
    x = 195,229.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.