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Finding the Third Proportional to 74,083.99 and 160,014.23

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Solution

The third proportional to 74,083.99 and 160,014.23 is: 345,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.99 : 160,014.23 = 160,014.23 : x
  2. Step 2: Convert to fraction form
    74,083.99/160,014.23 = 160,014.23/x
  3. Step 3: Cross multiply
    74,083.99x = 160,014.23 × 160,014.23
  4. Step 4: Simplify right side
    74,083.99x = 25,604,555,202.62
  5. Step 5: Solve for x
    x = 25,604,555,202.62/74,083.99
  6. Step 6: Final answer
    x = 345,615.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.