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Finding the Third Proportional to 45,963 and 68,080.50

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Solution

The third proportional to 45,963 and 68,080.50 is: 100,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,963 : 68,080.50 = 68,080.50 : x
  2. Step 2: Convert to fraction form
    45,963/68,080.50 = 68,080.50/x
  3. Step 3: Cross multiply
    45,963x = 68,080.50 × 68,080.50
  4. Step 4: Simplify right side
    45,963x = 4,634,954,480.25
  5. Step 5: Solve for x
    x = 4,634,954,480.25/45,963
  6. Step 6: Final answer
    x = 100,840.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.