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Finding the Third Proportional to 57,852 and 91,683

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Solution

The third proportional to 57,852 and 91,683 is: 145,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 91,683 = 91,683 : x
  2. Step 2: Convert to fraction form
    57,852/91,683 = 91,683/x
  3. Step 3: Cross multiply
    57,852x = 91,683 × 91,683
  4. Step 4: Simplify right side
    57,852x = 8,405,772,489
  5. Step 5: Solve for x
    x = 8,405,772,489/57,852
  6. Step 6: Final answer
    x = 145,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.