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Finding the Third Proportional to 34,168.50 and 75,063

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Solution

The third proportional to 34,168.50 and 75,063 is: 164,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168.50 : 75,063 = 75,063 : x
  2. Step 2: Convert to fraction form
    34,168.50/75,063 = 75,063/x
  3. Step 3: Cross multiply
    34,168.50x = 75,063 × 75,063
  4. Step 4: Simplify right side
    34,168.50x = 5,634,453,969
  5. Step 5: Solve for x
    x = 5,634,453,969/34,168.50
  6. Step 6: Final answer
    x = 164,902.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.