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Finding the Third Proportional to 73,108 and 160,178

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Solution

The third proportional to 73,108 and 160,178 is: 350,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,108 : 160,178 = 160,178 : x
  2. Step 2: Convert to fraction form
    73,108/160,178 = 160,178/x
  3. Step 3: Cross multiply
    73,108x = 160,178 × 160,178
  4. Step 4: Simplify right side
    73,108x = 25,656,991,684
  5. Step 5: Solve for x
    x = 25,656,991,684/73,108
  6. Step 6: Final answer
    x = 350,946.43

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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.