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Finding the Third Proportional to 97,722 and 146,006

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Solution

The third proportional to 97,722 and 146,006 is: 218,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722 : 146,006 = 146,006 : x
  2. Step 2: Convert to fraction form
    97,722/146,006 = 146,006/x
  3. Step 3: Cross multiply
    97,722x = 146,006 × 146,006
  4. Step 4: Simplify right side
    97,722x = 21,317,752,036
  5. Step 5: Solve for x
    x = 21,317,752,036/97,722
  6. Step 6: Final answer
    x = 218,146.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.