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Finding the Third Proportional to 41,045 and 88,652

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Solution

The third proportional to 41,045 and 88,652 is: 191,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,045 : 88,652 = 88,652 : x
  2. Step 2: Convert to fraction form
    41,045/88,652 = 88,652/x
  3. Step 3: Cross multiply
    41,045x = 88,652 × 88,652
  4. Step 4: Simplify right side
    41,045x = 7,859,177,104
  5. Step 5: Solve for x
    x = 7,859,177,104/41,045
  6. Step 6: Final answer
    x = 191,477.09

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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.