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Finding the Third Proportional to 68,170 and 145,816

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Solution

The third proportional to 68,170 and 145,816 is: 311,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,170 : 145,816 = 145,816 : x
  2. Step 2: Convert to fraction form
    68,170/145,816 = 145,816/x
  3. Step 3: Cross multiply
    68,170x = 145,816 × 145,816
  4. Step 4: Simplify right side
    68,170x = 21,262,305,856
  5. Step 5: Solve for x
    x = 21,262,305,856/68,170
  6. Step 6: Final answer
    x = 311,901.22

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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.