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Finding the Third Proportional to 128,173 and 194,168

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Solution

The third proportional to 128,173 and 194,168 is: 294,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,173 : 194,168 = 194,168 : x
  2. Step 2: Convert to fraction form
    128,173/194,168 = 194,168/x
  3. Step 3: Cross multiply
    128,173x = 194,168 × 194,168
  4. Step 4: Simplify right side
    128,173x = 37,701,212,224
  5. Step 5: Solve for x
    x = 37,701,212,224/128,173
  6. Step 6: Final answer
    x = 294,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.