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Finding the Third Proportional to 127,608 and 274,716

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Solution

The third proportional to 127,608 and 274,716 is: 591,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,608 : 274,716 = 274,716 : x
  2. Step 2: Convert to fraction form
    127,608/274,716 = 274,716/x
  3. Step 3: Cross multiply
    127,608x = 274,716 × 274,716
  4. Step 4: Simplify right side
    127,608x = 75,468,880,656
  5. Step 5: Solve for x
    x = 75,468,880,656/127,608
  6. Step 6: Final answer
    x = 591,411.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.