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Finding the Third Proportional to 62,168 and 134,162

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Solution

The third proportional to 62,168 and 134,162 is: 289,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,168 : 134,162 = 134,162 : x
  2. Step 2: Convert to fraction form
    62,168/134,162 = 134,162/x
  3. Step 3: Cross multiply
    62,168x = 134,162 × 134,162
  4. Step 4: Simplify right side
    62,168x = 17,999,442,244
  5. Step 5: Solve for x
    x = 17,999,442,244/62,168
  6. Step 6: Final answer
    x = 289,529.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.