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Finding the Third Proportional to 57,852 and 87,270

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Solution

The third proportional to 57,852 and 87,270 is: 131,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 87,270 = 87,270 : x
  2. Step 2: Convert to fraction form
    57,852/87,270 = 87,270/x
  3. Step 3: Cross multiply
    57,852x = 87,270 × 87,270
  4. Step 4: Simplify right side
    57,852x = 7,616,052,900
  5. Step 5: Solve for x
    x = 7,616,052,900/57,852
  6. Step 6: Final answer
    x = 131,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.