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Finding the Third Proportional to 51,953 and 113,014

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Solution

The third proportional to 51,953 and 113,014 is: 245,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953 : 113,014 = 113,014 : x
  2. Step 2: Convert to fraction form
    51,953/113,014 = 113,014/x
  3. Step 3: Cross multiply
    51,953x = 113,014 × 113,014
  4. Step 4: Simplify right side
    51,953x = 12,772,164,196
  5. Step 5: Solve for x
    x = 12,772,164,196/51,953
  6. Step 6: Final answer
    x = 245,840.74

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