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Finding the Third Proportional to 112,047 and 241,086

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Solution

The third proportional to 112,047 and 241,086 is: 518,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,047 : 241,086 = 241,086 : x
  2. Step 2: Convert to fraction form
    112,047/241,086 = 241,086/x
  3. Step 3: Cross multiply
    112,047x = 241,086 × 241,086
  4. Step 4: Simplify right side
    112,047x = 58,122,459,396
  5. Step 5: Solve for x
    x = 58,122,459,396/112,047
  6. Step 6: Final answer
    x = 518,732.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.