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Finding the Third Proportional to 127,703 and 259,054

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Solution

The third proportional to 127,703 and 259,054 is: 525,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,703 : 259,054 = 259,054 : x
  2. Step 2: Convert to fraction form
    127,703/259,054 = 259,054/x
  3. Step 3: Cross multiply
    127,703x = 259,054 × 259,054
  4. Step 4: Simplify right side
    127,703x = 67,108,974,916
  5. Step 5: Solve for x
    x = 67,108,974,916/127,703
  6. Step 6: Final answer
    x = 525,508.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.