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Finding the Third Proportional to 73,649.25 and 110,443.50

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Solution

The third proportional to 73,649.25 and 110,443.50 is: 165,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,649.25 : 110,443.50 = 110,443.50 : x
  2. Step 2: Convert to fraction form
    73,649.25/110,443.50 = 110,443.50/x
  3. Step 3: Cross multiply
    73,649.25x = 110,443.50 × 110,443.50
  4. Step 4: Simplify right side
    73,649.25x = 12,197,766,692.25
  5. Step 5: Solve for x
    x = 12,197,766,692.25/73,649.25
  6. Step 6: Final answer
    x = 165,619.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.