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Finding the Third Proportional to 66,851 and 100,291

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Solution

The third proportional to 66,851 and 100,291 is: 150,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,851 : 100,291 = 100,291 : x
  2. Step 2: Convert to fraction form
    66,851/100,291 = 100,291/x
  3. Step 3: Cross multiply
    66,851x = 100,291 × 100,291
  4. Step 4: Simplify right side
    66,851x = 10,058,284,681
  5. Step 5: Solve for x
    x = 10,058,284,681/66,851
  6. Step 6: Final answer
    x = 150,458.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.