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Finding the Third Proportional to 47,371 and 103,657

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Solution

The third proportional to 47,371 and 103,657 is: 226,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,371 : 103,657 = 103,657 : x
  2. Step 2: Convert to fraction form
    47,371/103,657 = 103,657/x
  3. Step 3: Cross multiply
    47,371x = 103,657 × 103,657
  4. Step 4: Simplify right side
    47,371x = 10,744,773,649
  5. Step 5: Solve for x
    x = 10,744,773,649/47,371
  6. Step 6: Final answer
    x = 226,821.76

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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.