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Finding the Third Proportional to 41,076 and 88,287

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Solution

The third proportional to 41,076 and 88,287 is: 189,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,076 : 88,287 = 88,287 : x
  2. Step 2: Convert to fraction form
    41,076/88,287 = 88,287/x
  3. Step 3: Cross multiply
    41,076x = 88,287 × 88,287
  4. Step 4: Simplify right side
    41,076x = 7,794,594,369
  5. Step 5: Solve for x
    x = 7,794,594,369/41,076
  6. Step 6: Final answer
    x = 189,760.31

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