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Finding the Third Proportional to 47,027 and 102,623

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Solution

The third proportional to 47,027 and 102,623 is: 223,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,027 : 102,623 = 102,623 : x
  2. Step 2: Convert to fraction form
    47,027/102,623 = 102,623/x
  3. Step 3: Cross multiply
    47,027x = 102,623 × 102,623
  4. Step 4: Simplify right side
    47,027x = 10,531,480,129
  5. Step 5: Solve for x
    x = 10,531,480,129/47,027
  6. Step 6: Final answer
    x = 223,945.40

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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.