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Finding the Third Proportional to 115,186 and 168,648

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Solution

The third proportional to 115,186 and 168,648 is: 246,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,186 : 168,648 = 168,648 : x
  2. Step 2: Convert to fraction form
    115,186/168,648 = 168,648/x
  3. Step 3: Cross multiply
    115,186x = 168,648 × 168,648
  4. Step 4: Simplify right side
    115,186x = 28,442,147,904
  5. Step 5: Solve for x
    x = 28,442,147,904/115,186
  6. Step 6: Final answer
    x = 246,923.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.