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Finding the Third Proportional to 49,488 and 107,184

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Solution

The third proportional to 49,488 and 107,184 is: 232,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 107,184 = 107,184 : x
  2. Step 2: Convert to fraction form
    49,488/107,184 = 107,184/x
  3. Step 3: Cross multiply
    49,488x = 107,184 × 107,184
  4. Step 4: Simplify right side
    49,488x = 11,488,409,856
  5. Step 5: Solve for x
    x = 11,488,409,856/49,488
  6. Step 6: Final answer
    x = 232,145.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.