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Finding the Third Proportional to 47,322 and 103,518

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Solution

The third proportional to 47,322 and 103,518 is: 226,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322 : 103,518 = 103,518 : x
  2. Step 2: Convert to fraction form
    47,322/103,518 = 103,518/x
  3. Step 3: Cross multiply
    47,322x = 103,518 × 103,518
  4. Step 4: Simplify right side
    47,322x = 10,715,976,324
  5. Step 5: Solve for x
    x = 10,715,976,324/47,322
  6. Step 6: Final answer
    x = 226,448.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.