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Finding the Third Proportional to 42,036.25 and 87,967

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Solution

The third proportional to 42,036.25 and 87,967 is: 184,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,036.25 : 87,967 = 87,967 : x
  2. Step 2: Convert to fraction form
    42,036.25/87,967 = 87,967/x
  3. Step 3: Cross multiply
    42,036.25x = 87,967 × 87,967
  4. Step 4: Simplify right side
    42,036.25x = 7,738,193,089
  5. Step 5: Solve for x
    x = 7,738,193,089/42,036.25
  6. Step 6: Final answer
    x = 184,083.81

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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.