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Finding the Third Proportional to 73,610 and 158,884

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Solution

The third proportional to 73,610 and 158,884 is: 342,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,610 : 158,884 = 158,884 : x
  2. Step 2: Convert to fraction form
    73,610/158,884 = 158,884/x
  3. Step 3: Cross multiply
    73,610x = 158,884 × 158,884
  4. Step 4: Simplify right side
    73,610x = 25,244,125,456
  5. Step 5: Solve for x
    x = 25,244,125,456/73,610
  6. Step 6: Final answer
    x = 342,944.24

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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.