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Finding the Third Proportional to 54,652 and 115,184

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Solution

The third proportional to 54,652 and 115,184 is: 242,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652 : 115,184 = 115,184 : x
  2. Step 2: Convert to fraction form
    54,652/115,184 = 115,184/x
  3. Step 3: Cross multiply
    54,652x = 115,184 × 115,184
  4. Step 4: Simplify right side
    54,652x = 13,267,353,856
  5. Step 5: Solve for x
    x = 13,267,353,856/54,652
  6. Step 6: Final answer
    x = 242,760.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.