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Finding the Third Proportional to 59,334 and 80,091

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Solution

The third proportional to 59,334 and 80,091 is: 108,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,334 : 80,091 = 80,091 : x
  2. Step 2: Convert to fraction form
    59,334/80,091 = 80,091/x
  3. Step 3: Cross multiply
    59,334x = 80,091 × 80,091
  4. Step 4: Simplify right side
    59,334x = 6,414,568,281
  5. Step 5: Solve for x
    x = 6,414,568,281/59,334
  6. Step 6: Final answer
    x = 108,109.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.