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Finding the Third Proportional to 42,872 and 88,978

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Solution

The third proportional to 42,872 and 88,978 is: 184,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872 : 88,978 = 88,978 : x
  2. Step 2: Convert to fraction form
    42,872/88,978 = 88,978/x
  3. Step 3: Cross multiply
    42,872x = 88,978 × 88,978
  4. Step 4: Simplify right side
    42,872x = 7,917,084,484
  5. Step 5: Solve for x
    x = 7,917,084,484/42,872
  6. Step 6: Final answer
    x = 184,667.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.