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Finding the Third Proportional to 73,161 and 160,281

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Solution

The third proportional to 73,161 and 160,281 is: 351,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161 : 160,281 = 160,281 : x
  2. Step 2: Convert to fraction form
    73,161/160,281 = 160,281/x
  3. Step 3: Cross multiply
    73,161x = 160,281 × 160,281
  4. Step 4: Simplify right side
    73,161x = 25,689,998,961
  5. Step 5: Solve for x
    x = 25,689,998,961/73,161
  6. Step 6: Final answer
    x = 351,143.35

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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.