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Finding the Third Proportional to 30,149 and 61,119

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Solution

The third proportional to 30,149 and 61,119 is: 123,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 61,119 = 61,119 : x
  2. Step 2: Convert to fraction form
    30,149/61,119 = 61,119/x
  3. Step 3: Cross multiply
    30,149x = 61,119 × 61,119
  4. Step 4: Simplify right side
    30,149x = 3,735,532,161
  5. Step 5: Solve for x
    x = 3,735,532,161/30,149
  6. Step 6: Final answer
    x = 123,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.