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Finding the Third Proportional to 115,046 and 246,086

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Solution

The third proportional to 115,046 and 246,086 is: 526,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046 : 246,086 = 246,086 : x
  2. Step 2: Convert to fraction form
    115,046/246,086 = 246,086/x
  3. Step 3: Cross multiply
    115,046x = 246,086 × 246,086
  4. Step 4: Simplify right side
    115,046x = 60,558,319,396
  5. Step 5: Solve for x
    x = 60,558,319,396/115,046
  6. Step 6: Final answer
    x = 526,383.53

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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.