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Finding the Third Proportional to 51,170 and 112,222

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Solution

The third proportional to 51,170 and 112,222 is: 246,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 112,222 = 112,222 : x
  2. Step 2: Convert to fraction form
    51,170/112,222 = 112,222/x
  3. Step 3: Cross multiply
    51,170x = 112,222 × 112,222
  4. Step 4: Simplify right side
    51,170x = 12,593,777,284
  5. Step 5: Solve for x
    x = 12,593,777,284/51,170
  6. Step 6: Final answer
    x = 246,116.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.