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Finding the Third Proportional to 59,895 and 89,843

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Solution

The third proportional to 59,895 and 89,843 is: 134,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,895 : 89,843 = 89,843 : x
  2. Step 2: Convert to fraction form
    59,895/89,843 = 89,843/x
  3. Step 3: Cross multiply
    59,895x = 89,843 × 89,843
  4. Step 4: Simplify right side
    59,895x = 8,071,764,649
  5. Step 5: Solve for x
    x = 8,071,764,649/59,895
  6. Step 6: Final answer
    x = 134,765.25

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