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Finding the Third Proportional to 51,240 and 113,616

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Solution

The third proportional to 51,240 and 113,616 is: 251,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 113,616 = 113,616 : x
  2. Step 2: Convert to fraction form
    51,240/113,616 = 113,616/x
  3. Step 3: Cross multiply
    51,240x = 113,616 × 113,616
  4. Step 4: Simplify right side
    51,240x = 12,908,595,456
  5. Step 5: Solve for x
    x = 12,908,595,456/51,240
  6. Step 6: Final answer
    x = 251,924.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.