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Finding the Third Proportional to 42,094 and 63,851

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Solution

The third proportional to 42,094 and 63,851 is: 96,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,094 : 63,851 = 63,851 : x
  2. Step 2: Convert to fraction form
    42,094/63,851 = 63,851/x
  3. Step 3: Cross multiply
    42,094x = 63,851 × 63,851
  4. Step 4: Simplify right side
    42,094x = 4,076,950,201
  5. Step 5: Solve for x
    x = 4,076,950,201/42,094
  6. Step 6: Final answer
    x = 96,853.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.