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Finding the Third Proportional to 73,097.25 and 160,155

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Solution

The third proportional to 73,097.25 and 160,155 is: 350,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.25 : 160,155 = 160,155 : x
  2. Step 2: Convert to fraction form
    73,097.25/160,155 = 160,155/x
  3. Step 3: Cross multiply
    73,097.25x = 160,155 × 160,155
  4. Step 4: Simplify right side
    73,097.25x = 25,649,624,025
  5. Step 5: Solve for x
    x = 25,649,624,025/73,097.25
  6. Step 6: Final answer
    x = 350,897.25

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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.