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Finding the Third Proportional to 42,909 and 92,966

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Solution

The third proportional to 42,909 and 92,966 is: 201,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909 : 92,966 = 92,966 : x
  2. Step 2: Convert to fraction form
    42,909/92,966 = 92,966/x
  3. Step 3: Cross multiply
    42,909x = 92,966 × 92,966
  4. Step 4: Simplify right side
    42,909x = 8,642,677,156
  5. Step 5: Solve for x
    x = 8,642,677,156/42,909
  6. Step 6: Final answer
    x = 201,418.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.