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Finding the Third Proportional to 47,094 and 102,288

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Solution

The third proportional to 47,094 and 102,288 is: 222,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094 : 102,288 = 102,288 : x
  2. Step 2: Convert to fraction form
    47,094/102,288 = 102,288/x
  3. Step 3: Cross multiply
    47,094x = 102,288 × 102,288
  4. Step 4: Simplify right side
    47,094x = 10,462,834,944
  5. Step 5: Solve for x
    x = 10,462,834,944/47,094
  6. Step 6: Final answer
    x = 222,169.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.