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Finding the Third Proportional to 112,771 and 243,171

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Solution

The third proportional to 112,771 and 243,171 is: 524,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,771 : 243,171 = 243,171 : x
  2. Step 2: Convert to fraction form
    112,771/243,171 = 243,171/x
  3. Step 3: Cross multiply
    112,771x = 243,171 × 243,171
  4. Step 4: Simplify right side
    112,771x = 59,132,135,241
  5. Step 5: Solve for x
    x = 59,132,135,241/112,771
  6. Step 6: Final answer
    x = 524,355.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.