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Finding the Third Proportional to 31,097.25 and 73,094.25

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Solution

The third proportional to 31,097.25 and 73,094.25 is: 171,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.25 : 73,094.25 = 73,094.25 : x
  2. Step 2: Convert to fraction form
    31,097.25/73,094.25 = 73,094.25/x
  3. Step 3: Cross multiply
    31,097.25x = 73,094.25 × 73,094.25
  4. Step 4: Simplify right side
    31,097.25x = 5,342,769,383.06
  5. Step 5: Solve for x
    x = 5,342,769,383.06/31,097.25
  6. Step 6: Final answer
    x = 171,808.42

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.