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Finding the Third Proportional to 48,120 and 104,352

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Solution

The third proportional to 48,120 and 104,352 is: 226,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,120 : 104,352 = 104,352 : x
  2. Step 2: Convert to fraction form
    48,120/104,352 = 104,352/x
  3. Step 3: Cross multiply
    48,120x = 104,352 × 104,352
  4. Step 4: Simplify right side
    48,120x = 10,889,339,904
  5. Step 5: Solve for x
    x = 10,889,339,904/48,120
  6. Step 6: Final answer
    x = 226,295.51

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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.