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Finding the Third Proportional to 73,089 and 159,846.75

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Solution

The third proportional to 73,089 and 159,846.75 is: 349,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,089 : 159,846.75 = 159,846.75 : x
  2. Step 2: Convert to fraction form
    73,089/159,846.75 = 159,846.75/x
  3. Step 3: Cross multiply
    73,089x = 159,846.75 × 159,846.75
  4. Step 4: Simplify right side
    73,089x = 25,550,983,485.56
  5. Step 5: Solve for x
    x = 25,550,983,485.56/73,089
  6. Step 6: Final answer
    x = 349,587.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.