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Finding the Third Proportional to 93,144 and 190,608

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Solution

The third proportional to 93,144 and 190,608 is: 390,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,144 : 190,608 = 190,608 : x
  2. Step 2: Convert to fraction form
    93,144/190,608 = 190,608/x
  3. Step 3: Cross multiply
    93,144x = 190,608 × 190,608
  4. Step 4: Simplify right side
    93,144x = 36,331,409,664
  5. Step 5: Solve for x
    x = 36,331,409,664/93,144
  6. Step 6: Final answer
    x = 390,056.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.