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Finding the Third Proportional to 72,907 and 158,990

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Solution

The third proportional to 72,907 and 158,990 is: 346,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,907 : 158,990 = 158,990 : x
  2. Step 2: Convert to fraction form
    72,907/158,990 = 158,990/x
  3. Step 3: Cross multiply
    72,907x = 158,990 × 158,990
  4. Step 4: Simplify right side
    72,907x = 25,277,820,100
  5. Step 5: Solve for x
    x = 25,277,820,100/72,907
  6. Step 6: Final answer
    x = 346,713.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.