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Finding the Third Proportional to 71,578.69 and 154,153.13

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Solution

The third proportional to 71,578.69 and 154,153.13 is: 331,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.69 : 154,153.13 = 154,153.13 : x
  2. Step 2: Convert to fraction form
    71,578.69/154,153.13 = 154,153.13/x
  3. Step 3: Cross multiply
    71,578.69x = 154,153.13 × 154,153.13
  4. Step 4: Simplify right side
    71,578.69x = 23,763,185,947.27
  5. Step 5: Solve for x
    x = 23,763,185,947.27/71,578.69
  6. Step 6: Final answer
    x = 331,986.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.