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Finding the Third Proportional to 56,767 and 85,936

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Solution

The third proportional to 56,767 and 85,936 is: 130,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,767 : 85,936 = 85,936 : x
  2. Step 2: Convert to fraction form
    56,767/85,936 = 85,936/x
  3. Step 3: Cross multiply
    56,767x = 85,936 × 85,936
  4. Step 4: Simplify right side
    56,767x = 7,384,996,096
  5. Step 5: Solve for x
    x = 7,384,996,096/56,767
  6. Step 6: Final answer
    x = 130,093.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.