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Finding the Third Proportional to 127,737 and 274,961.25

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Solution

The third proportional to 127,737 and 274,961.25 is: 591,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,737 : 274,961.25 = 274,961.25 : x
  2. Step 2: Convert to fraction form
    127,737/274,961.25 = 274,961.25/x
  3. Step 3: Cross multiply
    127,737x = 274,961.25 × 274,961.25
  4. Step 4: Simplify right side
    127,737x = 75,603,689,001.56
  5. Step 5: Solve for x
    x = 75,603,689,001.56/127,737
  6. Step 6: Final answer
    x = 591,869.93

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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.