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Finding the Third Proportional to 74,342.25 and 155,954.25

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Solution

The third proportional to 74,342.25 and 155,954.25 is: 327,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342.25 : 155,954.25 = 155,954.25 : x
  2. Step 2: Convert to fraction form
    74,342.25/155,954.25 = 155,954.25/x
  3. Step 3: Cross multiply
    74,342.25x = 155,954.25 × 155,954.25
  4. Step 4: Simplify right side
    74,342.25x = 24,321,728,093.06
  5. Step 5: Solve for x
    x = 24,321,728,093.06/74,342.25
  6. Step 6: Final answer
    x = 327,158.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.