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Finding the Third Proportional to 72,913.50 and 171,679.50

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Solution

The third proportional to 72,913.50 and 171,679.50 is: 404,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,913.50 : 171,679.50 = 171,679.50 : x
  2. Step 2: Convert to fraction form
    72,913.50/171,679.50 = 171,679.50/x
  3. Step 3: Cross multiply
    72,913.50x = 171,679.50 × 171,679.50
  4. Step 4: Simplify right side
    72,913.50x = 29,473,850,720.25
  5. Step 5: Solve for x
    x = 29,473,850,720.25/72,913.50
  6. Step 6: Final answer
    x = 404,230.37

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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.