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Finding the Third Proportional to 103,672 and 213,887

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Solution

The third proportional to 103,672 and 213,887 is: 441,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672 : 213,887 = 213,887 : x
  2. Step 2: Convert to fraction form
    103,672/213,887 = 213,887/x
  3. Step 3: Cross multiply
    103,672x = 213,887 × 213,887
  4. Step 4: Simplify right side
    103,672x = 45,747,648,769
  5. Step 5: Solve for x
    x = 45,747,648,769/103,672
  6. Step 6: Final answer
    x = 441,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.