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Finding the Third Proportional to 51,512.63 and 106,971.47

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Solution

The third proportional to 51,512.63 and 106,971.47 is: 222,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512.63 : 106,971.47 = 106,971.47 : x
  2. Step 2: Convert to fraction form
    51,512.63/106,971.47 = 106,971.47/x
  3. Step 3: Cross multiply
    51,512.63x = 106,971.47 × 106,971.47
  4. Step 4: Simplify right side
    51,512.63x = 11,442,895,126.53
  5. Step 5: Solve for x
    x = 11,442,895,126.53/51,512.63
  6. Step 6: Final answer
    x = 222,137.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.