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Finding the Third Proportional to 57,450 and 84,283

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Solution

The third proportional to 57,450 and 84,283 is: 123,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450 : 84,283 = 84,283 : x
  2. Step 2: Convert to fraction form
    57,450/84,283 = 84,283/x
  3. Step 3: Cross multiply
    57,450x = 84,283 × 84,283
  4. Step 4: Simplify right side
    57,450x = 7,103,624,089
  5. Step 5: Solve for x
    x = 7,103,624,089/57,450
  6. Step 6: Final answer
    x = 123,648.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.