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Finding the Third Proportional to 115,066 and 246,124

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Solution

The third proportional to 115,066 and 246,124 is: 526,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,066 : 246,124 = 246,124 : x
  2. Step 2: Convert to fraction form
    115,066/246,124 = 246,124/x
  3. Step 3: Cross multiply
    115,066x = 246,124 × 246,124
  4. Step 4: Simplify right side
    115,066x = 60,577,023,376
  5. Step 5: Solve for x
    x = 60,577,023,376/115,066
  6. Step 6: Final answer
    x = 526,454.59

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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.