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Finding the Third Proportional to 47,174 and 103,094

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Solution

The third proportional to 47,174 and 103,094 is: 225,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174 : 103,094 = 103,094 : x
  2. Step 2: Convert to fraction form
    47,174/103,094 = 103,094/x
  3. Step 3: Cross multiply
    47,174x = 103,094 × 103,094
  4. Step 4: Simplify right side
    47,174x = 10,628,372,836
  5. Step 5: Solve for x
    x = 10,628,372,836/47,174
  6. Step 6: Final answer
    x = 225,301.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.