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Finding the Third Proportional to 81,656 and 126,168

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Solution

The third proportional to 81,656 and 126,168 is: 194,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656 : 126,168 = 126,168 : x
  2. Step 2: Convert to fraction form
    81,656/126,168 = 126,168/x
  3. Step 3: Cross multiply
    81,656x = 126,168 × 126,168
  4. Step 4: Simplify right side
    81,656x = 15,918,364,224
  5. Step 5: Solve for x
    x = 15,918,364,224/81,656
  6. Step 6: Final answer
    x = 194,944.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.