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Finding the Third Proportional to 127,200 and 276,250

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Solution

The third proportional to 127,200 and 276,250 is: 599,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200 : 276,250 = 276,250 : x
  2. Step 2: Convert to fraction form
    127,200/276,250 = 276,250/x
  3. Step 3: Cross multiply
    127,200x = 276,250 × 276,250
  4. Step 4: Simplify right side
    127,200x = 76,314,062,500
  5. Step 5: Solve for x
    x = 76,314,062,500/127,200
  6. Step 6: Final answer
    x = 599,953.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.