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Finding the Third Proportional to 127,969 and 299,051

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Solution

The third proportional to 127,969 and 299,051 is: 698,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,969 : 299,051 = 299,051 : x
  2. Step 2: Convert to fraction form
    127,969/299,051 = 299,051/x
  3. Step 3: Cross multiply
    127,969x = 299,051 × 299,051
  4. Step 4: Simplify right side
    127,969x = 89,431,500,601
  5. Step 5: Solve for x
    x = 89,431,500,601/127,969
  6. Step 6: Final answer
    x = 698,852.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.