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Finding the Third Proportional to 51,627 and 75,928

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Solution

The third proportional to 51,627 and 75,928 is: 111,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,627 : 75,928 = 75,928 : x
  2. Step 2: Convert to fraction form
    51,627/75,928 = 75,928/x
  3. Step 3: Cross multiply
    51,627x = 75,928 × 75,928
  4. Step 4: Simplify right side
    51,627x = 5,765,061,184
  5. Step 5: Solve for x
    x = 5,765,061,184/51,627
  6. Step 6: Final answer
    x = 111,667.56

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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.