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Finding the Third Proportional to 92,454 and 202,941

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Solution

The third proportional to 92,454 and 202,941 is: 445,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454 : 202,941 = 202,941 : x
  2. Step 2: Convert to fraction form
    92,454/202,941 = 202,941/x
  3. Step 3: Cross multiply
    92,454x = 202,941 × 202,941
  4. Step 4: Simplify right side
    92,454x = 41,185,049,481
  5. Step 5: Solve for x
    x = 41,185,049,481/92,454
  6. Step 6: Final answer
    x = 445,465.31

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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.