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Finding the Third Proportional to 43,059 and 94,605

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Solution

The third proportional to 43,059 and 94,605 is: 207,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,059 : 94,605 = 94,605 : x
  2. Step 2: Convert to fraction form
    43,059/94,605 = 94,605/x
  3. Step 3: Cross multiply
    43,059x = 94,605 × 94,605
  4. Step 4: Simplify right side
    43,059x = 8,950,106,025
  5. Step 5: Solve for x
    x = 8,950,106,025/43,059
  6. Step 6: Final answer
    x = 207,856.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.