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Finding the Third Proportional to 66,027 and 142,321

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Solution

The third proportional to 66,027 and 142,321 is: 306,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,027 : 142,321 = 142,321 : x
  2. Step 2: Convert to fraction form
    66,027/142,321 = 142,321/x
  3. Step 3: Cross multiply
    66,027x = 142,321 × 142,321
  4. Step 4: Simplify right side
    66,027x = 20,255,267,041
  5. Step 5: Solve for x
    x = 20,255,267,041/66,027
  6. Step 6: Final answer
    x = 306,772.49

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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.