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Finding the Third Proportional to 85,180.50 and 119,443.50

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Solution

The third proportional to 85,180.50 and 119,443.50 is: 167,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,180.50 : 119,443.50 = 119,443.50 : x
  2. Step 2: Convert to fraction form
    85,180.50/119,443.50 = 119,443.50/x
  3. Step 3: Cross multiply
    85,180.50x = 119,443.50 × 119,443.50
  4. Step 4: Simplify right side
    85,180.50x = 14,266,749,692.25
  5. Step 5: Solve for x
    x = 14,266,749,692.25/85,180.50
  6. Step 6: Final answer
    x = 167,488.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.