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Finding the Third Proportional to 122,706 and 185,898

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Solution

The third proportional to 122,706 and 185,898 is: 281,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706 : 185,898 = 185,898 : x
  2. Step 2: Convert to fraction form
    122,706/185,898 = 185,898/x
  3. Step 3: Cross multiply
    122,706x = 185,898 × 185,898
  4. Step 4: Simplify right side
    122,706x = 34,558,066,404
  5. Step 5: Solve for x
    x = 34,558,066,404/122,706
  6. Step 6: Final answer
    x = 281,633.06

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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.