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Finding the Third Proportional to 75,309.12 and 163,015.03

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Solution

The third proportional to 75,309.12 and 163,015.03 is: 352,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.12 : 163,015.03 = 163,015.03 : x
  2. Step 2: Convert to fraction form
    75,309.12/163,015.03 = 163,015.03/x
  3. Step 3: Cross multiply
    75,309.12x = 163,015.03 × 163,015.03
  4. Step 4: Simplify right side
    75,309.12x = 26,573,900,413.44
  5. Step 5: Solve for x
    x = 26,573,900,413.44/75,309.12
  6. Step 6: Final answer
    x = 352,864.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.