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Finding the Third Proportional to 127,081 and 275,083.50

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Solution

The third proportional to 127,081 and 275,083.50 is: 595,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,081 : 275,083.50 = 275,083.50 : x
  2. Step 2: Convert to fraction form
    127,081/275,083.50 = 275,083.50/x
  3. Step 3: Cross multiply
    127,081x = 275,083.50 × 275,083.50
  4. Step 4: Simplify right side
    127,081x = 75,670,931,972.25
  5. Step 5: Solve for x
    x = 75,670,931,972.25/127,081
  6. Step 6: Final answer
    x = 595,454.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.