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Finding the Third Proportional to 73,101 and 160,161

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Solution

The third proportional to 73,101 and 160,161 is: 350,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,101 : 160,161 = 160,161 : x
  2. Step 2: Convert to fraction form
    73,101/160,161 = 160,161/x
  3. Step 3: Cross multiply
    73,101x = 160,161 × 160,161
  4. Step 4: Simplify right side
    73,101x = 25,651,545,921
  5. Step 5: Solve for x
    x = 25,651,545,921/73,101
  6. Step 6: Final answer
    x = 350,905.54

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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.