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Finding the Third Proportional to 105,212 and 158,910

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Solution

The third proportional to 105,212 and 158,910 is: 240,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212 : 158,910 = 158,910 : x
  2. Step 2: Convert to fraction form
    105,212/158,910 = 158,910/x
  3. Step 3: Cross multiply
    105,212x = 158,910 × 158,910
  4. Step 4: Simplify right side
    105,212x = 25,252,388,100
  5. Step 5: Solve for x
    x = 25,252,388,100/105,212
  6. Step 6: Final answer
    x = 240,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.