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Finding the Third Proportional to 57,852 and 87,395

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Solution

The third proportional to 57,852 and 87,395 is: 132,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 87,395 = 87,395 : x
  2. Step 2: Convert to fraction form
    57,852/87,395 = 87,395/x
  3. Step 3: Cross multiply
    57,852x = 87,395 × 87,395
  4. Step 4: Simplify right side
    57,852x = 7,637,886,025
  5. Step 5: Solve for x
    x = 7,637,886,025/57,852
  6. Step 6: Final answer
    x = 132,024.58

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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.