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Finding the Third Proportional to 106,084.69 and 159,127.03

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Solution

The third proportional to 106,084.69 and 159,127.03 is: 238,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,084.69 : 159,127.03 = 159,127.03 : x
  2. Step 2: Convert to fraction form
    106,084.69/159,127.03 = 159,127.03/x
  3. Step 3: Cross multiply
    106,084.69x = 159,127.03 × 159,127.03
  4. Step 4: Simplify right side
    106,084.69x = 25,321,412,074.44
  5. Step 5: Solve for x
    x = 25,321,412,074.44/106,084.69
  6. Step 6: Final answer
    x = 238,690.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.