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Finding the Third Proportional to 106,242 and 232,086

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Solution

The third proportional to 106,242 and 232,086 is: 506,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,242 : 232,086 = 232,086 : x
  2. Step 2: Convert to fraction form
    106,242/232,086 = 232,086/x
  3. Step 3: Cross multiply
    106,242x = 232,086 × 232,086
  4. Step 4: Simplify right side
    106,242x = 53,863,911,396
  5. Step 5: Solve for x
    x = 53,863,911,396/106,242
  6. Step 6: Final answer
    x = 506,992.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.