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Finding the Third Proportional to 114,869 and 168,303

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Solution

The third proportional to 114,869 and 168,303 is: 246,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,869 : 168,303 = 168,303 : x
  2. Step 2: Convert to fraction form
    114,869/168,303 = 168,303/x
  3. Step 3: Cross multiply
    114,869x = 168,303 × 168,303
  4. Step 4: Simplify right side
    114,869x = 28,325,899,809
  5. Step 5: Solve for x
    x = 28,325,899,809/114,869
  6. Step 6: Final answer
    x = 246,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.