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Finding the Third Proportional to 92,961 and 200,826

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Solution

The third proportional to 92,961 and 200,826 is: 433,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,961 : 200,826 = 200,826 : x
  2. Step 2: Convert to fraction form
    92,961/200,826 = 200,826/x
  3. Step 3: Cross multiply
    92,961x = 200,826 × 200,826
  4. Step 4: Simplify right side
    92,961x = 40,331,082,276
  5. Step 5: Solve for x
    x = 40,331,082,276/92,961
  6. Step 6: Final answer
    x = 433,849.49

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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.