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Finding the Third Proportional to 73,975.78 and 159,775.03

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Solution

The third proportional to 73,975.78 and 159,775.03 is: 345,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,975.78 : 159,775.03 = 159,775.03 : x
  2. Step 2: Convert to fraction form
    73,975.78/159,775.03 = 159,775.03/x
  3. Step 3: Cross multiply
    73,975.78x = 159,775.03 × 159,775.03
  4. Step 4: Simplify right side
    73,975.78x = 25,528,060,610.94
  5. Step 5: Solve for x
    x = 25,528,060,610.94/73,975.78
  6. Step 6: Final answer
    x = 345,086.73

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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.