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Finding the Third Proportional to 73,928 and 152,208

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Solution

The third proportional to 73,928 and 152,208 is: 313,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,928 : 152,208 = 152,208 : x
  2. Step 2: Convert to fraction form
    73,928/152,208 = 152,208/x
  3. Step 3: Cross multiply
    73,928x = 152,208 × 152,208
  4. Step 4: Simplify right side
    73,928x = 23,167,275,264
  5. Step 5: Solve for x
    x = 23,167,275,264/73,928
  6. Step 6: Final answer
    x = 313,376.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.