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Finding the Third Proportional to 68,052 and 144,816

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Solution

The third proportional to 68,052 and 144,816 is: 308,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,052 : 144,816 = 144,816 : x
  2. Step 2: Convert to fraction form
    68,052/144,816 = 144,816/x
  3. Step 3: Cross multiply
    68,052x = 144,816 × 144,816
  4. Step 4: Simplify right side
    68,052x = 20,971,673,856
  5. Step 5: Solve for x
    x = 20,971,673,856/68,052
  6. Step 6: Final answer
    x = 308,171.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.