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Finding the Third Proportional to 76,022 and 161,888

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Solution

The third proportional to 76,022 and 161,888 is: 344,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,022 : 161,888 = 161,888 : x
  2. Step 2: Convert to fraction form
    76,022/161,888 = 161,888/x
  3. Step 3: Cross multiply
    76,022x = 161,888 × 161,888
  4. Step 4: Simplify right side
    76,022x = 26,207,724,544
  5. Step 5: Solve for x
    x = 26,207,724,544/76,022
  6. Step 6: Final answer
    x = 344,738.69

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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.