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Finding the Third Proportional to 84,242 and 187,165

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Solution

The third proportional to 84,242 and 187,165 is: 415,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242 : 187,165 = 187,165 : x
  2. Step 2: Convert to fraction form
    84,242/187,165 = 187,165/x
  3. Step 3: Cross multiply
    84,242x = 187,165 × 187,165
  4. Step 4: Simplify right side
    84,242x = 35,030,737,225
  5. Step 5: Solve for x
    x = 35,030,737,225/84,242
  6. Step 6: Final answer
    x = 415,834.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.