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Finding the Third Proportional to 57,123 and 83,732

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Solution

The third proportional to 57,123 and 83,732 is: 122,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,123 : 83,732 = 83,732 : x
  2. Step 2: Convert to fraction form
    57,123/83,732 = 83,732/x
  3. Step 3: Cross multiply
    57,123x = 83,732 × 83,732
  4. Step 4: Simplify right side
    57,123x = 7,011,047,824
  5. Step 5: Solve for x
    x = 7,011,047,824/57,123
  6. Step 6: Final answer
    x = 122,735.99

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