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Finding the Third Proportional to 42,329 and 92,961

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Solution

The third proportional to 42,329 and 92,961 is: 204,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329 : 92,961 = 92,961 : x
  2. Step 2: Convert to fraction form
    42,329/92,961 = 92,961/x
  3. Step 3: Cross multiply
    42,329x = 92,961 × 92,961
  4. Step 4: Simplify right side
    42,329x = 8,641,747,521
  5. Step 5: Solve for x
    x = 8,641,747,521/42,329
  6. Step 6: Final answer
    x = 204,156.67

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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.