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Finding the Third Proportional to 67,450.50 and 144,742.50

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Solution

The third proportional to 67,450.50 and 144,742.50 is: 310,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,450.50 : 144,742.50 = 144,742.50 : x
  2. Step 2: Convert to fraction form
    67,450.50/144,742.50 = 144,742.50/x
  3. Step 3: Cross multiply
    67,450.50x = 144,742.50 × 144,742.50
  4. Step 4: Simplify right side
    67,450.50x = 20,950,391,306.25
  5. Step 5: Solve for x
    x = 20,950,391,306.25/67,450.50
  6. Step 6: Final answer
    x = 310,603.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.