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Finding the Third Proportional to 42,252 and 91,803

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Solution

The third proportional to 42,252 and 91,803 is: 199,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252 : 91,803 = 91,803 : x
  2. Step 2: Convert to fraction form
    42,252/91,803 = 91,803/x
  3. Step 3: Cross multiply
    42,252x = 91,803 × 91,803
  4. Step 4: Simplify right side
    42,252x = 8,427,790,809
  5. Step 5: Solve for x
    x = 8,427,790,809/42,252
  6. Step 6: Final answer
    x = 199,464.90

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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.