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Finding the Third Proportional to 52,016.25 and 76,172.25

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Solution

The third proportional to 52,016.25 and 76,172.25 is: 111,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016.25 : 76,172.25 = 76,172.25 : x
  2. Step 2: Convert to fraction form
    52,016.25/76,172.25 = 76,172.25/x
  3. Step 3: Cross multiply
    52,016.25x = 76,172.25 × 76,172.25
  4. Step 4: Simplify right side
    52,016.25x = 5,802,211,670.06
  5. Step 5: Solve for x
    x = 5,802,211,670.06/52,016.25
  6. Step 6: Final answer
    x = 111,546.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.