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Finding the Third Proportional to 67,981 and 95,562

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Solution

The third proportional to 67,981 and 95,562 is: 134,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981 : 95,562 = 95,562 : x
  2. Step 2: Convert to fraction form
    67,981/95,562 = 95,562/x
  3. Step 3: Cross multiply
    67,981x = 95,562 × 95,562
  4. Step 4: Simplify right side
    67,981x = 9,132,095,844
  5. Step 5: Solve for x
    x = 9,132,095,844/67,981
  6. Step 6: Final answer
    x = 134,333.06

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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.