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Finding the Third Proportional to 47,614 and 103,420

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Solution

The third proportional to 47,614 and 103,420 is: 224,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,614 : 103,420 = 103,420 : x
  2. Step 2: Convert to fraction form
    47,614/103,420 = 103,420/x
  3. Step 3: Cross multiply
    47,614x = 103,420 × 103,420
  4. Step 4: Simplify right side
    47,614x = 10,695,696,400
  5. Step 5: Solve for x
    x = 10,695,696,400/47,614
  6. Step 6: Final answer
    x = 224,633.44

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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.