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Finding the Third Proportional to 51,752 and 113,188

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Solution

The third proportional to 51,752 and 113,188 is: 247,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752 : 113,188 = 113,188 : x
  2. Step 2: Convert to fraction form
    51,752/113,188 = 113,188/x
  3. Step 3: Cross multiply
    51,752x = 113,188 × 113,188
  4. Step 4: Simplify right side
    51,752x = 12,811,523,344
  5. Step 5: Solve for x
    x = 12,811,523,344/51,752
  6. Step 6: Final answer
    x = 247,556.10

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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.