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Finding the Third Proportional to 73,980 and 115,928.25

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Solution

The third proportional to 73,980 and 115,928.25 is: 181,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 115,928.25 = 115,928.25 : x
  2. Step 2: Convert to fraction form
    73,980/115,928.25 = 115,928.25/x
  3. Step 3: Cross multiply
    73,980x = 115,928.25 × 115,928.25
  4. Step 4: Simplify right side
    73,980x = 13,439,359,148.06
  5. Step 5: Solve for x
    x = 13,439,359,148.06/73,980
  6. Step 6: Final answer
    x = 181,662.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.