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Finding the Third Proportional to 73,928 and 162,616

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Solution

The third proportional to 73,928 and 162,616 is: 357,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,928 : 162,616 = 162,616 : x
  2. Step 2: Convert to fraction form
    73,928/162,616 = 162,616/x
  3. Step 3: Cross multiply
    73,928x = 162,616 × 162,616
  4. Step 4: Simplify right side
    73,928x = 26,443,963,456
  5. Step 5: Solve for x
    x = 26,443,963,456/73,928
  6. Step 6: Final answer
    x = 357,698.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.