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Finding the Third Proportional to 34,161 and 70,010

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Solution

The third proportional to 34,161 and 70,010 is: 143,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161 : 70,010 = 70,010 : x
  2. Step 2: Convert to fraction form
    34,161/70,010 = 70,010/x
  3. Step 3: Cross multiply
    34,161x = 70,010 × 70,010
  4. Step 4: Simplify right side
    34,161x = 4,901,400,100
  5. Step 5: Solve for x
    x = 4,901,400,100/34,161
  6. Step 6: Final answer
    x = 143,479.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.