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Finding the Third Proportional to 102,168 and 136,356

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Solution

The third proportional to 102,168 and 136,356 is: 181,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168 : 136,356 = 136,356 : x
  2. Step 2: Convert to fraction form
    102,168/136,356 = 136,356/x
  3. Step 3: Cross multiply
    102,168x = 136,356 × 136,356
  4. Step 4: Simplify right side
    102,168x = 18,592,958,736
  5. Step 5: Solve for x
    x = 18,592,958,736/102,168
  6. Step 6: Final answer
    x = 181,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.