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Finding the Third Proportional to 45,096 and 96,450

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Solution

The third proportional to 45,096 and 96,450 is: 206,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 96,450 = 96,450 : x
  2. Step 2: Convert to fraction form
    45,096/96,450 = 96,450/x
  3. Step 3: Cross multiply
    45,096x = 96,450 × 96,450
  4. Step 4: Simplify right side
    45,096x = 9,302,602,500
  5. Step 5: Solve for x
    x = 9,302,602,500/45,096
  6. Step 6: Final answer
    x = 206,284.43

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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.