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Finding the Third Proportional to 51,790 and 75,983

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Solution

The third proportional to 51,790 and 75,983 is: 111,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,790 : 75,983 = 75,983 : x
  2. Step 2: Convert to fraction form
    51,790/75,983 = 75,983/x
  3. Step 3: Cross multiply
    51,790x = 75,983 × 75,983
  4. Step 4: Simplify right side
    51,790x = 5,773,416,289
  5. Step 5: Solve for x
    x = 5,773,416,289/51,790
  6. Step 6: Final answer
    x = 111,477.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.