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Finding the Third Proportional to 103,682 and 160,851

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Solution

The third proportional to 103,682 and 160,851 is: 249,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 160,851 = 160,851 : x
  2. Step 2: Convert to fraction form
    103,682/160,851 = 160,851/x
  3. Step 3: Cross multiply
    103,682x = 160,851 × 160,851
  4. Step 4: Simplify right side
    103,682x = 25,873,044,201
  5. Step 5: Solve for x
    x = 25,873,044,201/103,682
  6. Step 6: Final answer
    x = 249,542.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.