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Finding the Third Proportional to 57,062 and 83,865

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Solution

The third proportional to 57,062 and 83,865 is: 123,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,062 : 83,865 = 83,865 : x
  2. Step 2: Convert to fraction form
    57,062/83,865 = 83,865/x
  3. Step 3: Cross multiply
    57,062x = 83,865 × 83,865
  4. Step 4: Simplify right side
    57,062x = 7,033,338,225
  5. Step 5: Solve for x
    x = 7,033,338,225/57,062
  6. Step 6: Final answer
    x = 123,257.83

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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.