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Finding the Third Proportional to 66,573 and 144,900

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Solution

The third proportional to 66,573 and 144,900 is: 315,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,573 : 144,900 = 144,900 : x
  2. Step 2: Convert to fraction form
    66,573/144,900 = 144,900/x
  3. Step 3: Cross multiply
    66,573x = 144,900 × 144,900
  4. Step 4: Simplify right side
    66,573x = 20,996,010,000
  5. Step 5: Solve for x
    x = 20,996,010,000/66,573
  6. Step 6: Final answer
    x = 315,383.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.