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Finding the Third Proportional to 51,051 and 112,170

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Solution

The third proportional to 51,051 and 112,170 is: 246,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051 : 112,170 = 112,170 : x
  2. Step 2: Convert to fraction form
    51,051/112,170 = 112,170/x
  3. Step 3: Cross multiply
    51,051x = 112,170 × 112,170
  4. Step 4: Simplify right side
    51,051x = 12,582,108,900
  5. Step 5: Solve for x
    x = 12,582,108,900/51,051
  6. Step 6: Final answer
    x = 246,461.56

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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.