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Finding the Third Proportional to 73,028 and 157,144

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Solution

The third proportional to 73,028 and 157,144 is: 338,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,028 : 157,144 = 157,144 : x
  2. Step 2: Convert to fraction form
    73,028/157,144 = 157,144/x
  3. Step 3: Cross multiply
    73,028x = 157,144 × 157,144
  4. Step 4: Simplify right side
    73,028x = 24,694,236,736
  5. Step 5: Solve for x
    x = 24,694,236,736/73,028
  6. Step 6: Final answer
    x = 338,147.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.