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Finding the Third Proportional to 57,172 and 87,944

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Solution

The third proportional to 57,172 and 87,944 is: 135,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172 : 87,944 = 87,944 : x
  2. Step 2: Convert to fraction form
    57,172/87,944 = 87,944/x
  3. Step 3: Cross multiply
    57,172x = 87,944 × 87,944
  4. Step 4: Simplify right side
    57,172x = 7,734,147,136
  5. Step 5: Solve for x
    x = 7,734,147,136/57,172
  6. Step 6: Final answer
    x = 135,278.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.