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Finding the Third Proportional to 42,051 and 87,996

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Solution

The third proportional to 42,051 and 87,996 is: 184,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051 : 87,996 = 87,996 : x
  2. Step 2: Convert to fraction form
    42,051/87,996 = 87,996/x
  3. Step 3: Cross multiply
    42,051x = 87,996 × 87,996
  4. Step 4: Simplify right side
    42,051x = 7,743,296,016
  5. Step 5: Solve for x
    x = 7,743,296,016/42,051
  6. Step 6: Final answer
    x = 184,140.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.