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Finding the Third Proportional to 43,346 and 91,048

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Solution

The third proportional to 43,346 and 91,048 is: 191,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 91,048 = 91,048 : x
  2. Step 2: Convert to fraction form
    43,346/91,048 = 91,048/x
  3. Step 3: Cross multiply
    43,346x = 91,048 × 91,048
  4. Step 4: Simplify right side
    43,346x = 8,289,738,304
  5. Step 5: Solve for x
    x = 8,289,738,304/43,346
  6. Step 6: Final answer
    x = 191,245.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.