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Finding the Third Proportional to 34,168 and 75,062

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Solution

The third proportional to 34,168 and 75,062 is: 164,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168 : 75,062 = 75,062 : x
  2. Step 2: Convert to fraction form
    34,168/75,062 = 75,062/x
  3. Step 3: Cross multiply
    34,168x = 75,062 × 75,062
  4. Step 4: Simplify right side
    34,168x = 5,634,303,844
  5. Step 5: Solve for x
    x = 5,634,303,844/34,168
  6. Step 6: Final answer
    x = 164,900.02

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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.