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Finding the Third Proportional to 127,110.75 and 276,339.75

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Solution

The third proportional to 127,110.75 and 276,339.75 is: 600,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,110.75 : 276,339.75 = 276,339.75 : x
  2. Step 2: Convert to fraction form
    127,110.75/276,339.75 = 276,339.75/x
  3. Step 3: Cross multiply
    127,110.75x = 276,339.75 × 276,339.75
  4. Step 4: Simplify right side
    127,110.75x = 76,363,657,430.06
  5. Step 5: Solve for x
    x = 76,363,657,430.06/127,110.75
  6. Step 6: Final answer
    x = 600,764.75

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