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Finding the Third Proportional to 51,927 and 112,968

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Solution

The third proportional to 51,927 and 112,968 is: 245,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927 : 112,968 = 112,968 : x
  2. Step 2: Convert to fraction form
    51,927/112,968 = 112,968/x
  3. Step 3: Cross multiply
    51,927x = 112,968 × 112,968
  4. Step 4: Simplify right side
    51,927x = 12,761,769,024
  5. Step 5: Solve for x
    x = 12,761,769,024/51,927
  6. Step 6: Final answer
    x = 245,763.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.