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Finding the Third Proportional to 93,171 and 201,174

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Solution

The third proportional to 93,171 and 201,174 is: 434,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,171 : 201,174 = 201,174 : x
  2. Step 2: Convert to fraction form
    93,171/201,174 = 201,174/x
  3. Step 3: Cross multiply
    93,171x = 201,174 × 201,174
  4. Step 4: Simplify right side
    93,171x = 40,470,978,276
  5. Step 5: Solve for x
    x = 40,470,978,276/93,171
  6. Step 6: Final answer
    x = 434,373.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.