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Finding the Third Proportional to 52,992 and 112,302

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Solution

The third proportional to 52,992 and 112,302 is: 237,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,992 : 112,302 = 112,302 : x
  2. Step 2: Convert to fraction form
    52,992/112,302 = 112,302/x
  3. Step 3: Cross multiply
    52,992x = 112,302 × 112,302
  4. Step 4: Simplify right side
    52,992x = 12,611,739,204
  5. Step 5: Solve for x
    x = 12,611,739,204/52,992
  6. Step 6: Final answer
    x = 237,993.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.