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Finding the Third Proportional to 67,076.44 and 142,148.25

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Solution

The third proportional to 67,076.44 and 142,148.25 is: 301,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,076.44 : 142,148.25 = 142,148.25 : x
  2. Step 2: Convert to fraction form
    67,076.44/142,148.25 = 142,148.25/x
  3. Step 3: Cross multiply
    67,076.44x = 142,148.25 × 142,148.25
  4. Step 4: Simplify right side
    67,076.44x = 20,206,124,978.06
  5. Step 5: Solve for x
    x = 20,206,124,978.06/67,076.44
  6. Step 6: Final answer
    x = 301,240.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.