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Finding the Third Proportional to 42,048 and 92,032

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Solution

The third proportional to 42,048 and 92,032 is: 201,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048 : 92,032 = 92,032 : x
  2. Step 2: Convert to fraction form
    42,048/92,032 = 92,032/x
  3. Step 3: Cross multiply
    42,048x = 92,032 × 92,032
  4. Step 4: Simplify right side
    42,048x = 8,469,889,024
  5. Step 5: Solve for x
    x = 8,469,889,024/42,048
  6. Step 6: Final answer
    x = 201,433.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.