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Finding the Third Proportional to 56,832 and 85,032

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Solution

The third proportional to 56,832 and 85,032 is: 127,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832 : 85,032 = 85,032 : x
  2. Step 2: Convert to fraction form
    56,832/85,032 = 85,032/x
  3. Step 3: Cross multiply
    56,832x = 85,032 × 85,032
  4. Step 4: Simplify right side
    56,832x = 7,230,441,024
  5. Step 5: Solve for x
    x = 7,230,441,024/56,832
  6. Step 6: Final answer
    x = 127,224.82

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Why These Related Problems?

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