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Finding the Third Proportional to 73,097 and 160,154

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Solution

The third proportional to 73,097 and 160,154 is: 350,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097 : 160,154 = 160,154 : x
  2. Step 2: Convert to fraction form
    73,097/160,154 = 160,154/x
  3. Step 3: Cross multiply
    73,097x = 160,154 × 160,154
  4. Step 4: Simplify right side
    73,097x = 25,649,303,716
  5. Step 5: Solve for x
    x = 25,649,303,716/73,097
  6. Step 6: Final answer
    x = 350,894.07

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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.