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Finding the Third Proportional to 57,059 and 83,973

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Solution

The third proportional to 57,059 and 83,973 is: 123,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059 : 83,973 = 83,973 : x
  2. Step 2: Convert to fraction form
    57,059/83,973 = 83,973/x
  3. Step 3: Cross multiply
    57,059x = 83,973 × 83,973
  4. Step 4: Simplify right side
    57,059x = 7,051,464,729
  5. Step 5: Solve for x
    x = 7,051,464,729/57,059
  6. Step 6: Final answer
    x = 123,581.99

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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.