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Finding the Third Proportional to 127,698 and 259,044

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Solution

The third proportional to 127,698 and 259,044 is: 525,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,698 : 259,044 = 259,044 : x
  2. Step 2: Convert to fraction form
    127,698/259,044 = 259,044/x
  3. Step 3: Cross multiply
    127,698x = 259,044 × 259,044
  4. Step 4: Simplify right side
    127,698x = 67,103,793,936
  5. Step 5: Solve for x
    x = 67,103,793,936/127,698
  6. Step 6: Final answer
    x = 525,488.21

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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.