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Finding the Third Proportional to 47,582 and 103,639

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Solution

The third proportional to 47,582 and 103,639 is: 225,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582 : 103,639 = 103,639 : x
  2. Step 2: Convert to fraction form
    47,582/103,639 = 103,639/x
  3. Step 3: Cross multiply
    47,582x = 103,639 × 103,639
  4. Step 4: Simplify right side
    47,582x = 10,741,042,321
  5. Step 5: Solve for x
    x = 10,741,042,321/47,582
  6. Step 6: Final answer
    x = 225,737.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.