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Finding the Third Proportional to 68,890.50 and 159,757.31

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Solution

The third proportional to 68,890.50 and 159,757.31 is: 370,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,890.50 : 159,757.31 = 159,757.31 : x
  2. Step 2: Convert to fraction form
    68,890.50/159,757.31 = 159,757.31/x
  3. Step 3: Cross multiply
    68,890.50x = 159,757.31 × 159,757.31
  4. Step 4: Simplify right side
    68,890.50x = 25,522,398,897.22
  5. Step 5: Solve for x
    x = 25,522,398,897.22/68,890.50
  6. Step 6: Final answer
    x = 370,477.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.