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Finding the Third Proportional to 66,919.50 and 145,503

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Solution

The third proportional to 66,919.50 and 145,503 is: 316,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,919.50 : 145,503 = 145,503 : x
  2. Step 2: Convert to fraction form
    66,919.50/145,503 = 145,503/x
  3. Step 3: Cross multiply
    66,919.50x = 145,503 × 145,503
  4. Step 4: Simplify right side
    66,919.50x = 21,171,123,009
  5. Step 5: Solve for x
    x = 21,171,123,009/66,919.50
  6. Step 6: Final answer
    x = 316,367.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.