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Finding the Third Proportional to 57,018 and 85,779

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Solution

The third proportional to 57,018 and 85,779 is: 129,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,018 : 85,779 = 85,779 : x
  2. Step 2: Convert to fraction form
    57,018/85,779 = 85,779/x
  3. Step 3: Cross multiply
    57,018x = 85,779 × 85,779
  4. Step 4: Simplify right side
    57,018x = 7,358,036,841
  5. Step 5: Solve for x
    x = 7,358,036,841/57,018
  6. Step 6: Final answer
    x = 129,047.61

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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.