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Finding the Third Proportional to 57,948 and 86,706

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Solution

The third proportional to 57,948 and 86,706 is: 129,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,948 : 86,706 = 86,706 : x
  2. Step 2: Convert to fraction form
    57,948/86,706 = 86,706/x
  3. Step 3: Cross multiply
    57,948x = 86,706 × 86,706
  4. Step 4: Simplify right side
    57,948x = 7,517,930,436
  5. Step 5: Solve for x
    x = 7,517,930,436/57,948
  6. Step 6: Final answer
    x = 129,735.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.