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Finding the Third Proportional to 47,620 and 101,573

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Solution

The third proportional to 47,620 and 101,573 is: 216,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620 : 101,573 = 101,573 : x
  2. Step 2: Convert to fraction form
    47,620/101,573 = 101,573/x
  3. Step 3: Cross multiply
    47,620x = 101,573 × 101,573
  4. Step 4: Simplify right side
    47,620x = 10,317,074,329
  5. Step 5: Solve for x
    x = 10,317,074,329/47,620
  6. Step 6: Final answer
    x = 216,654.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.