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Finding the Third Proportional to 45,948 and 100,100

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Solution

The third proportional to 45,948 and 100,100 is: 218,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,948 : 100,100 = 100,100 : x
  2. Step 2: Convert to fraction form
    45,948/100,100 = 100,100/x
  3. Step 3: Cross multiply
    45,948x = 100,100 × 100,100
  4. Step 4: Simplify right side
    45,948x = 10,020,010,000
  5. Step 5: Solve for x
    x = 10,020,010,000/45,948
  6. Step 6: Final answer
    x = 218,072.82

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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.