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Finding the Third Proportional to 57,963.50 and 127,010

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Solution

The third proportional to 57,963.50 and 127,010 is: 278,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963.50 : 127,010 = 127,010 : x
  2. Step 2: Convert to fraction form
    57,963.50/127,010 = 127,010/x
  3. Step 3: Cross multiply
    57,963.50x = 127,010 × 127,010
  4. Step 4: Simplify right side
    57,963.50x = 16,131,540,100
  5. Step 5: Solve for x
    x = 16,131,540,100/57,963.50
  6. Step 6: Final answer
    x = 278,305.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.