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Finding the Third Proportional to 66,321 and 143,196.75

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Solution

The third proportional to 66,321 and 143,196.75 is: 309,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,321 : 143,196.75 = 143,196.75 : x
  2. Step 2: Convert to fraction form
    66,321/143,196.75 = 143,196.75/x
  3. Step 3: Cross multiply
    66,321x = 143,196.75 × 143,196.75
  4. Step 4: Simplify right side
    66,321x = 20,505,309,210.56
  5. Step 5: Solve for x
    x = 20,505,309,210.56/66,321
  6. Step 6: Final answer
    x = 309,182.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.