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Finding the Third Proportional to 42,172 and 88,241

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Solution

The third proportional to 42,172 and 88,241 is: 184,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,172 : 88,241 = 88,241 : x
  2. Step 2: Convert to fraction form
    42,172/88,241 = 88,241/x
  3. Step 3: Cross multiply
    42,172x = 88,241 × 88,241
  4. Step 4: Simplify right side
    42,172x = 7,786,474,081
  5. Step 5: Solve for x
    x = 7,786,474,081/42,172
  6. Step 6: Final answer
    x = 184,636.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.