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Finding the Third Proportional to 72,957.38 and 158,692.50

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Solution

The third proportional to 72,957.38 and 158,692.50 is: 345,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,957.38 : 158,692.50 = 158,692.50 : x
  2. Step 2: Convert to fraction form
    72,957.38/158,692.50 = 158,692.50/x
  3. Step 3: Cross multiply
    72,957.38x = 158,692.50 × 158,692.50
  4. Step 4: Simplify right side
    72,957.38x = 25,183,309,556.25
  5. Step 5: Solve for x
    x = 25,183,309,556.25/72,957.38
  6. Step 6: Final answer
    x = 345,178.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.