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Finding the Third Proportional to 59,272 and 83,867

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Solution

The third proportional to 59,272 and 83,867 is: 118,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,272 : 83,867 = 83,867 : x
  2. Step 2: Convert to fraction form
    59,272/83,867 = 83,867/x
  3. Step 3: Cross multiply
    59,272x = 83,867 × 83,867
  4. Step 4: Simplify right side
    59,272x = 7,033,673,689
  5. Step 5: Solve for x
    x = 7,033,673,689/59,272
  6. Step 6: Final answer
    x = 118,667.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.