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Finding the Third Proportional to 43,462 and 91,594

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Solution

The third proportional to 43,462 and 91,594 is: 193,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,462 : 91,594 = 91,594 : x
  2. Step 2: Convert to fraction form
    43,462/91,594 = 91,594/x
  3. Step 3: Cross multiply
    43,462x = 91,594 × 91,594
  4. Step 4: Simplify right side
    43,462x = 8,389,460,836
  5. Step 5: Solve for x
    x = 8,389,460,836/43,462
  6. Step 6: Final answer
    x = 193,029.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.