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Finding the Third Proportional to 51,960 and 113,018

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Solution

The third proportional to 51,960 and 113,018 is: 245,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960 : 113,018 = 113,018 : x
  2. Step 2: Convert to fraction form
    51,960/113,018 = 113,018/x
  3. Step 3: Cross multiply
    51,960x = 113,018 × 113,018
  4. Step 4: Simplify right side
    51,960x = 12,773,068,324
  5. Step 5: Solve for x
    x = 12,773,068,324/51,960
  6. Step 6: Final answer
    x = 245,825.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.