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Finding the Third Proportional to 106,556 and 236,760

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Solution

The third proportional to 106,556 and 236,760 is: 526,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,556 : 236,760 = 236,760 : x
  2. Step 2: Convert to fraction form
    106,556/236,760 = 236,760/x
  3. Step 3: Cross multiply
    106,556x = 236,760 × 236,760
  4. Step 4: Simplify right side
    106,556x = 56,055,297,600
  5. Step 5: Solve for x
    x = 56,055,297,600/106,556
  6. Step 6: Final answer
    x = 526,064.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.