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Finding the Third Proportional to 107,000 and 225,938

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Solution

The third proportional to 107,000 and 225,938 is: 477,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000 : 225,938 = 225,938 : x
  2. Step 2: Convert to fraction form
    107,000/225,938 = 225,938/x
  3. Step 3: Cross multiply
    107,000x = 225,938 × 225,938
  4. Step 4: Simplify right side
    107,000x = 51,047,979,844
  5. Step 5: Solve for x
    x = 51,047,979,844/107,000
  6. Step 6: Final answer
    x = 477,083.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.