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Finding the Third Proportional to 52,786 and 112,049

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Solution

The third proportional to 52,786 and 112,049 is: 237,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786 : 112,049 = 112,049 : x
  2. Step 2: Convert to fraction form
    52,786/112,049 = 112,049/x
  3. Step 3: Cross multiply
    52,786x = 112,049 × 112,049
  4. Step 4: Simplify right side
    52,786x = 12,554,978,401
  5. Step 5: Solve for x
    x = 12,554,978,401/52,786
  6. Step 6: Final answer
    x = 237,846.75

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