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Finding the Third Proportional to 73,603 and 158,869

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Solution

The third proportional to 73,603 and 158,869 is: 342,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,603 : 158,869 = 158,869 : x
  2. Step 2: Convert to fraction form
    73,603/158,869 = 158,869/x
  3. Step 3: Cross multiply
    73,603x = 158,869 × 158,869
  4. Step 4: Simplify right side
    73,603x = 25,239,359,161
  5. Step 5: Solve for x
    x = 25,239,359,161/73,603
  6. Step 6: Final answer
    x = 342,912.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.