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Finding the Third Proportional to 42,698 and 68,211

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Solution

The third proportional to 42,698 and 68,211 is: 108,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698 : 68,211 = 68,211 : x
  2. Step 2: Convert to fraction form
    42,698/68,211 = 68,211/x
  3. Step 3: Cross multiply
    42,698x = 68,211 × 68,211
  4. Step 4: Simplify right side
    42,698x = 4,652,740,521
  5. Step 5: Solve for x
    x = 4,652,740,521/42,698
  6. Step 6: Final answer
    x = 108,968.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.