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Finding the Third Proportional to 43,605 and 94,181.25

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Solution

The third proportional to 43,605 and 94,181.25 is: 203,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 94,181.25 = 94,181.25 : x
  2. Step 2: Convert to fraction form
    43,605/94,181.25 = 94,181.25/x
  3. Step 3: Cross multiply
    43,605x = 94,181.25 × 94,181.25
  4. Step 4: Simplify right side
    43,605x = 8,870,107,851.56
  5. Step 5: Solve for x
    x = 8,870,107,851.56/43,605
  6. Step 6: Final answer
    x = 203,419.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.