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Finding the Third Proportional to 57,629 and 85,117

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Solution

The third proportional to 57,629 and 85,117 is: 125,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,629 : 85,117 = 85,117 : x
  2. Step 2: Convert to fraction form
    57,629/85,117 = 85,117/x
  3. Step 3: Cross multiply
    57,629x = 85,117 × 85,117
  4. Step 4: Simplify right side
    57,629x = 7,244,903,689
  5. Step 5: Solve for x
    x = 7,244,903,689/57,629
  6. Step 6: Final answer
    x = 125,716.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.