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Finding the Third Proportional to 51,201 and 112,243

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Solution

The third proportional to 51,201 and 112,243 is: 246,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201 : 112,243 = 112,243 : x
  2. Step 2: Convert to fraction form
    51,201/112,243 = 112,243/x
  3. Step 3: Cross multiply
    51,201x = 112,243 × 112,243
  4. Step 4: Simplify right side
    51,201x = 12,598,491,049
  5. Step 5: Solve for x
    x = 12,598,491,049/51,201
  6. Step 6: Final answer
    x = 246,059.47

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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.