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Finding the Third Proportional to 122,159 and 186,871

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Solution

The third proportional to 122,159 and 186,871 is: 285,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,159 : 186,871 = 186,871 : x
  2. Step 2: Convert to fraction form
    122,159/186,871 = 186,871/x
  3. Step 3: Cross multiply
    122,159x = 186,871 × 186,871
  4. Step 4: Simplify right side
    122,159x = 34,920,770,641
  5. Step 5: Solve for x
    x = 34,920,770,641/122,159
  6. Step 6: Final answer
    x = 285,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.