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Finding the Third Proportional to 41,051 and 87,043

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Solution

The third proportional to 41,051 and 87,043 is: 184,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051 : 87,043 = 87,043 : x
  2. Step 2: Convert to fraction form
    41,051/87,043 = 87,043/x
  3. Step 3: Cross multiply
    41,051x = 87,043 × 87,043
  4. Step 4: Simplify right side
    41,051x = 7,576,483,849
  5. Step 5: Solve for x
    x = 7,576,483,849/41,051
  6. Step 6: Final answer
    x = 184,562.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.