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Finding the Third Proportional to 126,159 and 200,616

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Solution

The third proportional to 126,159 and 200,616 is: 319,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,159 : 200,616 = 200,616 : x
  2. Step 2: Convert to fraction form
    126,159/200,616 = 200,616/x
  3. Step 3: Cross multiply
    126,159x = 200,616 × 200,616
  4. Step 4: Simplify right side
    126,159x = 40,246,779,456
  5. Step 5: Solve for x
    x = 40,246,779,456/126,159
  6. Step 6: Final answer
    x = 319,016.32

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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.