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Finding the Third Proportional to 47,250 and 68,080.50

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Solution

The third proportional to 47,250 and 68,080.50 is: 98,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,250 : 68,080.50 = 68,080.50 : x
  2. Step 2: Convert to fraction form
    47,250/68,080.50 = 68,080.50/x
  3. Step 3: Cross multiply
    47,250x = 68,080.50 × 68,080.50
  4. Step 4: Simplify right side
    47,250x = 4,634,954,480.25
  5. Step 5: Solve for x
    x = 4,634,954,480.25/47,250
  6. Step 6: Final answer
    x = 98,094.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.