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Finding the Third Proportional to 52,146 and 106,722

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Solution

The third proportional to 52,146 and 106,722 is: 218,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146 : 106,722 = 106,722 : x
  2. Step 2: Convert to fraction form
    52,146/106,722 = 106,722/x
  3. Step 3: Cross multiply
    52,146x = 106,722 × 106,722
  4. Step 4: Simplify right side
    52,146x = 11,389,585,284
  5. Step 5: Solve for x
    x = 11,389,585,284/52,146
  6. Step 6: Final answer
    x = 218,417.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.