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Finding the Third Proportional to 103,698 and 162,698

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Solution

The third proportional to 103,698 and 162,698 is: 255,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 162,698 = 162,698 : x
  2. Step 2: Convert to fraction form
    103,698/162,698 = 162,698/x
  3. Step 3: Cross multiply
    103,698x = 162,698 × 162,698
  4. Step 4: Simplify right side
    103,698x = 26,470,639,204
  5. Step 5: Solve for x
    x = 26,470,639,204/103,698
  6. Step 6: Final answer
    x = 255,266.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.