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Finding the Third Proportional to 73,097.25 and 160,154.25

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Solution

The third proportional to 73,097.25 and 160,154.25 is: 350,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.25 : 160,154.25 = 160,154.25 : x
  2. Step 2: Convert to fraction form
    73,097.25/160,154.25 = 160,154.25/x
  3. Step 3: Cross multiply
    73,097.25x = 160,154.25 × 160,154.25
  4. Step 4: Simplify right side
    73,097.25x = 25,649,383,793.06
  5. Step 5: Solve for x
    x = 25,649,383,793.06/73,097.25
  6. Step 6: Final answer
    x = 350,893.96

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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.