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Finding the Third Proportional to 45,096 and 97,968

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Solution

The third proportional to 45,096 and 97,968 is: 212,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 97,968 = 97,968 : x
  2. Step 2: Convert to fraction form
    45,096/97,968 = 97,968/x
  3. Step 3: Cross multiply
    45,096x = 97,968 × 97,968
  4. Step 4: Simplify right side
    45,096x = 9,597,729,024
  5. Step 5: Solve for x
    x = 9,597,729,024/45,096
  6. Step 6: Final answer
    x = 212,828.83

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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.