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Finding the Third Proportional to 51,053 and 112,174

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Solution

The third proportional to 51,053 and 112,174 is: 246,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,053 : 112,174 = 112,174 : x
  2. Step 2: Convert to fraction form
    51,053/112,174 = 112,174/x
  3. Step 3: Cross multiply
    51,053x = 112,174 × 112,174
  4. Step 4: Simplify right side
    51,053x = 12,583,006,276
  5. Step 5: Solve for x
    x = 12,583,006,276/51,053
  6. Step 6: Final answer
    x = 246,469.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.