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Finding the Third Proportional to 93,650 and 203,174

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Solution

The third proportional to 93,650 and 203,174 is: 440,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,650 : 203,174 = 203,174 : x
  2. Step 2: Convert to fraction form
    93,650/203,174 = 203,174/x
  3. Step 3: Cross multiply
    93,650x = 203,174 × 203,174
  4. Step 4: Simplify right side
    93,650x = 41,279,674,276
  5. Step 5: Solve for x
    x = 41,279,674,276/93,650
  6. Step 6: Final answer
    x = 440,786.70

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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.