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Finding the Third Proportional to 101,243 and 160,907

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Solution

The third proportional to 101,243 and 160,907 is: 255,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,243 : 160,907 = 160,907 : x
  2. Step 2: Convert to fraction form
    101,243/160,907 = 160,907/x
  3. Step 3: Cross multiply
    101,243x = 160,907 × 160,907
  4. Step 4: Simplify right side
    101,243x = 25,891,062,649
  5. Step 5: Solve for x
    x = 25,891,062,649/101,243
  6. Step 6: Final answer
    x = 255,731.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.