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Finding the Third Proportional to 42,166 and 88,976

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Solution

The third proportional to 42,166 and 88,976 is: 187,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,166 : 88,976 = 88,976 : x
  2. Step 2: Convert to fraction form
    42,166/88,976 = 88,976/x
  3. Step 3: Cross multiply
    42,166x = 88,976 × 88,976
  4. Step 4: Simplify right side
    42,166x = 7,916,728,576
  5. Step 5: Solve for x
    x = 7,916,728,576/42,166
  6. Step 6: Final answer
    x = 187,751.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.