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Finding the Third Proportional to 74,816.25 and 159,998.25

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Solution

The third proportional to 74,816.25 and 159,998.25 is: 342,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,816.25 : 159,998.25 = 159,998.25 : x
  2. Step 2: Convert to fraction form
    74,816.25/159,998.25 = 159,998.25/x
  3. Step 3: Cross multiply
    74,816.25x = 159,998.25 × 159,998.25
  4. Step 4: Simplify right side
    74,816.25x = 25,599,440,003.06
  5. Step 5: Solve for x
    x = 25,599,440,003.06/74,816.25
  6. Step 6: Final answer
    x = 342,164.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.