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Finding the Third Proportional to 85,901 and 126,276

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Solution

The third proportional to 85,901 and 126,276 is: 185,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,901 : 126,276 = 126,276 : x
  2. Step 2: Convert to fraction form
    85,901/126,276 = 126,276/x
  3. Step 3: Cross multiply
    85,901x = 126,276 × 126,276
  4. Step 4: Simplify right side
    85,901x = 15,945,628,176
  5. Step 5: Solve for x
    x = 15,945,628,176/85,901
  6. Step 6: Final answer
    x = 185,627.97

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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.