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Finding the Third Proportional to 114,896 and 251,176

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Solution

The third proportional to 114,896 and 251,176 is: 549,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,896 : 251,176 = 251,176 : x
  2. Step 2: Convert to fraction form
    114,896/251,176 = 251,176/x
  3. Step 3: Cross multiply
    114,896x = 251,176 × 251,176
  4. Step 4: Simplify right side
    114,896x = 63,089,382,976
  5. Step 5: Solve for x
    x = 63,089,382,976/114,896
  6. Step 6: Final answer
    x = 549,099.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.