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Finding the Third Proportional to 92,672 and 202,337

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Solution

The third proportional to 92,672 and 202,337 is: 441,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,672 : 202,337 = 202,337 : x
  2. Step 2: Convert to fraction form
    92,672/202,337 = 202,337/x
  3. Step 3: Cross multiply
    92,672x = 202,337 × 202,337
  4. Step 4: Simplify right side
    92,672x = 40,940,261,569
  5. Step 5: Solve for x
    x = 40,940,261,569/92,672
  6. Step 6: Final answer
    x = 441,775.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.