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Finding the Third Proportional to 103,617.25 and 154,783.97

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Solution

The third proportional to 103,617.25 and 154,783.97 is: 231,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.25 : 154,783.97 = 154,783.97 : x
  2. Step 2: Convert to fraction form
    103,617.25/154,783.97 = 154,783.97/x
  3. Step 3: Cross multiply
    103,617.25x = 154,783.97 × 154,783.97
  4. Step 4: Simplify right side
    103,617.25x = 23,958,076,982.00
  5. Step 5: Solve for x
    x = 23,958,076,982.00/103,617.25
  6. Step 6: Final answer
    x = 231,217.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.