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Finding the Third Proportional to 103,826 and 225,877

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Solution

The third proportional to 103,826 and 225,877 is: 491,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,826 : 225,877 = 225,877 : x
  2. Step 2: Convert to fraction form
    103,826/225,877 = 225,877/x
  3. Step 3: Cross multiply
    103,826x = 225,877 × 225,877
  4. Step 4: Simplify right side
    103,826x = 51,020,419,129
  5. Step 5: Solve for x
    x = 51,020,419,129/103,826
  6. Step 6: Final answer
    x = 491,403.11

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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.