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Finding the Third Proportional to 57,968 and 127,006

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Solution

The third proportional to 57,968 and 127,006 is: 278,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,968 : 127,006 = 127,006 : x
  2. Step 2: Convert to fraction form
    57,968/127,006 = 127,006/x
  3. Step 3: Cross multiply
    57,968x = 127,006 × 127,006
  4. Step 4: Simplify right side
    57,968x = 16,130,524,036
  5. Step 5: Solve for x
    x = 16,130,524,036/57,968
  6. Step 6: Final answer
    x = 278,266.01

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Why These Related Problems?

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