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Finding the Third Proportional to 57,064 and 83,944

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Solution

The third proportional to 57,064 and 83,944 is: 123,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064 : 83,944 = 83,944 : x
  2. Step 2: Convert to fraction form
    57,064/83,944 = 83,944/x
  3. Step 3: Cross multiply
    57,064x = 83,944 × 83,944
  4. Step 4: Simplify right side
    57,064x = 7,046,595,136
  5. Step 5: Solve for x
    x = 7,046,595,136/57,064
  6. Step 6: Final answer
    x = 123,485.83

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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.