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Finding the Third Proportional to 106,022 and 226,755

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Solution

The third proportional to 106,022 and 226,755 is: 484,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022 : 226,755 = 226,755 : x
  2. Step 2: Convert to fraction form
    106,022/226,755 = 226,755/x
  3. Step 3: Cross multiply
    106,022x = 226,755 × 226,755
  4. Step 4: Simplify right side
    106,022x = 51,417,830,025
  5. Step 5: Solve for x
    x = 51,417,830,025/106,022
  6. Step 6: Final answer
    x = 484,973.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.