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Finding the Third Proportional to 69,768 and 150,696

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Solution

The third proportional to 69,768 and 150,696 is: 325,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768 : 150,696 = 150,696 : x
  2. Step 2: Convert to fraction form
    69,768/150,696 = 150,696/x
  3. Step 3: Cross multiply
    69,768x = 150,696 × 150,696
  4. Step 4: Simplify right side
    69,768x = 22,709,284,416
  5. Step 5: Solve for x
    x = 22,709,284,416/69,768
  6. Step 6: Final answer
    x = 325,497.14

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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.