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Finding the Third Proportional to 73,095 and 160,149.75

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Solution

The third proportional to 73,095 and 160,149.75 is: 350,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095 : 160,149.75 = 160,149.75 : x
  2. Step 2: Convert to fraction form
    73,095/160,149.75 = 160,149.75/x
  3. Step 3: Cross multiply
    73,095x = 160,149.75 × 160,149.75
  4. Step 4: Simplify right side
    73,095x = 25,647,942,425.06
  5. Step 5: Solve for x
    x = 25,647,942,425.06/73,095
  6. Step 6: Final answer
    x = 350,885.05

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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.