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Finding the Third Proportional to 67,896 and 89,289

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Solution

The third proportional to 67,896 and 89,289 is: 117,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896 : 89,289 = 89,289 : x
  2. Step 2: Convert to fraction form
    67,896/89,289 = 89,289/x
  3. Step 3: Cross multiply
    67,896x = 89,289 × 89,289
  4. Step 4: Simplify right side
    67,896x = 7,972,525,521
  5. Step 5: Solve for x
    x = 7,972,525,521/67,896
  6. Step 6: Final answer
    x = 117,422.61

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.