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Finding the Third Proportional to 75,706.69 and 159,255.75

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Solution

The third proportional to 75,706.69 and 159,255.75 is: 335,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.69 : 159,255.75 = 159,255.75 : x
  2. Step 2: Convert to fraction form
    75,706.69/159,255.75 = 159,255.75/x
  3. Step 3: Cross multiply
    75,706.69x = 159,255.75 × 159,255.75
  4. Step 4: Simplify right side
    75,706.69x = 25,362,393,908.06
  5. Step 5: Solve for x
    x = 25,362,393,908.06/75,706.69
  6. Step 6: Final answer
    x = 335,008.63

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