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Finding the Third Proportional to 51,284 and 110,770

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Solution

The third proportional to 51,284 and 110,770 is: 239,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284 : 110,770 = 110,770 : x
  2. Step 2: Convert to fraction form
    51,284/110,770 = 110,770/x
  3. Step 3: Cross multiply
    51,284x = 110,770 × 110,770
  4. Step 4: Simplify right side
    51,284x = 12,269,992,900
  5. Step 5: Solve for x
    x = 12,269,992,900/51,284
  6. Step 6: Final answer
    x = 239,255.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.