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Finding the Third Proportional to 72,353.25 and 111,278.25

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Solution

The third proportional to 72,353.25 and 111,278.25 is: 171,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,353.25 : 111,278.25 = 111,278.25 : x
  2. Step 2: Convert to fraction form
    72,353.25/111,278.25 = 111,278.25/x
  3. Step 3: Cross multiply
    72,353.25x = 111,278.25 × 111,278.25
  4. Step 4: Simplify right side
    72,353.25x = 12,382,848,923.06
  5. Step 5: Solve for x
    x = 12,382,848,923.06/72,353.25
  6. Step 6: Final answer
    x = 171,144.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.