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Finding the Third Proportional to 67,152.75 and 143,524.50

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Solution

The third proportional to 67,152.75 and 143,524.50 is: 306,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,152.75 : 143,524.50 = 143,524.50 : x
  2. Step 2: Convert to fraction form
    67,152.75/143,524.50 = 143,524.50/x
  3. Step 3: Cross multiply
    67,152.75x = 143,524.50 × 143,524.50
  4. Step 4: Simplify right side
    67,152.75x = 20,599,282,100.25
  5. Step 5: Solve for x
    x = 20,599,282,100.25/67,152.75
  6. Step 6: Final answer
    x = 306,752.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.