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Finding the Third Proportional to 92,672 and 202,339

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Solution

The third proportional to 92,672 and 202,339 is: 441,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,672 : 202,339 = 202,339 : x
  2. Step 2: Convert to fraction form
    92,672/202,339 = 202,339/x
  3. Step 3: Cross multiply
    92,672x = 202,339 × 202,339
  4. Step 4: Simplify right side
    92,672x = 40,941,070,921
  5. Step 5: Solve for x
    x = 40,941,070,921/92,672
  6. Step 6: Final answer
    x = 441,784.69

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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.