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Finding the Third Proportional to 30,844 and 60,152

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Solution

The third proportional to 30,844 and 60,152 is: 117,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844 : 60,152 = 60,152 : x
  2. Step 2: Convert to fraction form
    30,844/60,152 = 60,152/x
  3. Step 3: Cross multiply
    30,844x = 60,152 × 60,152
  4. Step 4: Simplify right side
    30,844x = 3,618,263,104
  5. Step 5: Solve for x
    x = 3,618,263,104/30,844
  6. Step 6: Final answer
    x = 117,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.