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Finding the Third Proportional to 74,005.88 and 159,850.13

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Solution

The third proportional to 74,005.88 and 159,850.13 is: 345,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,005.88 : 159,850.13 = 159,850.13 : x
  2. Step 2: Convert to fraction form
    74,005.88/159,850.13 = 159,850.13/x
  3. Step 3: Cross multiply
    74,005.88x = 159,850.13 × 159,850.13
  4. Step 4: Simplify right side
    74,005.88x = 25,552,062,462.52
  5. Step 5: Solve for x
    x = 25,552,062,462.52/74,005.88
  6. Step 6: Final answer
    x = 345,270.73

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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.