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Finding the Third Proportional to 51,996.94 and 112,296.38

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Solution

The third proportional to 51,996.94 and 112,296.38 is: 242,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996.94 : 112,296.38 = 112,296.38 : x
  2. Step 2: Convert to fraction form
    51,996.94/112,296.38 = 112,296.38/x
  3. Step 3: Cross multiply
    51,996.94x = 112,296.38 × 112,296.38
  4. Step 4: Simplify right side
    51,996.94x = 12,610,475,838.14
  5. Step 5: Solve for x
    x = 12,610,475,838.14/51,996.94
  6. Step 6: Final answer
    x = 242,523.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.