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Finding the Third Proportional to 48,434 and 104,518

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Solution

The third proportional to 48,434 and 104,518 is: 225,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 104,518 = 104,518 : x
  2. Step 2: Convert to fraction form
    48,434/104,518 = 104,518/x
  3. Step 3: Cross multiply
    48,434x = 104,518 × 104,518
  4. Step 4: Simplify right side
    48,434x = 10,924,012,324
  5. Step 5: Solve for x
    x = 10,924,012,324/48,434
  6. Step 6: Final answer
    x = 225,544.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.