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Finding the Third Proportional to 51,858 and 113,101

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Solution

The third proportional to 51,858 and 113,101 is: 246,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858 : 113,101 = 113,101 : x
  2. Step 2: Convert to fraction form
    51,858/113,101 = 113,101/x
  3. Step 3: Cross multiply
    51,858x = 113,101 × 113,101
  4. Step 4: Simplify right side
    51,858x = 12,791,836,201
  5. Step 5: Solve for x
    x = 12,791,836,201/51,858
  6. Step 6: Final answer
    x = 246,670.45

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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.