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Finding the Third Proportional to 41,004 and 88,292

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Solution

The third proportional to 41,004 and 88,292 is: 190,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,004 : 88,292 = 88,292 : x
  2. Step 2: Convert to fraction form
    41,004/88,292 = 88,292/x
  3. Step 3: Cross multiply
    41,004x = 88,292 × 88,292
  4. Step 4: Simplify right side
    41,004x = 7,795,477,264
  5. Step 5: Solve for x
    x = 7,795,477,264/41,004
  6. Step 6: Final answer
    x = 190,115.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.