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Finding the Third Proportional to 47,324 and 101,623

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Solution

The third proportional to 47,324 and 101,623 is: 218,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 101,623 = 101,623 : x
  2. Step 2: Convert to fraction form
    47,324/101,623 = 101,623/x
  3. Step 3: Cross multiply
    47,324x = 101,623 × 101,623
  4. Step 4: Simplify right side
    47,324x = 10,327,234,129
  5. Step 5: Solve for x
    x = 10,327,234,129/47,324
  6. Step 6: Final answer
    x = 218,224.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.