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Finding the Third Proportional to 94,065 and 202,825

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Solution

The third proportional to 94,065 and 202,825 is: 437,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,065 : 202,825 = 202,825 : x
  2. Step 2: Convert to fraction form
    94,065/202,825 = 202,825/x
  3. Step 3: Cross multiply
    94,065x = 202,825 × 202,825
  4. Step 4: Simplify right side
    94,065x = 41,137,980,625
  5. Step 5: Solve for x
    x = 41,137,980,625/94,065
  6. Step 6: Final answer
    x = 437,335.68

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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.