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Finding the Third Proportional to 94,968 and 203,112

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Solution

The third proportional to 94,968 and 203,112 is: 434,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,968 : 203,112 = 203,112 : x
  2. Step 2: Convert to fraction form
    94,968/203,112 = 203,112/x
  3. Step 3: Cross multiply
    94,968x = 203,112 × 203,112
  4. Step 4: Simplify right side
    94,968x = 41,254,484,544
  5. Step 5: Solve for x
    x = 41,254,484,544/94,968
  6. Step 6: Final answer
    x = 434,404.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.