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Finding the Third Proportional to 66,684 and 143,736

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Solution

The third proportional to 66,684 and 143,736 is: 309,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684 : 143,736 = 143,736 : x
  2. Step 2: Convert to fraction form
    66,684/143,736 = 143,736/x
  3. Step 3: Cross multiply
    66,684x = 143,736 × 143,736
  4. Step 4: Simplify right side
    66,684x = 20,660,037,696
  5. Step 5: Solve for x
    x = 20,660,037,696/66,684
  6. Step 6: Final answer
    x = 309,820.01

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Why These Related Problems?

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