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Finding the Third Proportional to 102,576 and 223,968

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Solution

The third proportional to 102,576 and 223,968 is: 489,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576 : 223,968 = 223,968 : x
  2. Step 2: Convert to fraction form
    102,576/223,968 = 223,968/x
  3. Step 3: Cross multiply
    102,576x = 223,968 × 223,968
  4. Step 4: Simplify right side
    102,576x = 50,161,665,024
  5. Step 5: Solve for x
    x = 50,161,665,024/102,576
  6. Step 6: Final answer
    x = 489,019.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.