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Finding the Third Proportional to 67,336 and 99,701

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Solution

The third proportional to 67,336 and 99,701 is: 147,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,336 : 99,701 = 99,701 : x
  2. Step 2: Convert to fraction form
    67,336/99,701 = 99,701/x
  3. Step 3: Cross multiply
    67,336x = 99,701 × 99,701
  4. Step 4: Simplify right side
    67,336x = 9,940,289,401
  5. Step 5: Solve for x
    x = 9,940,289,401/67,336
  6. Step 6: Final answer
    x = 147,622.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.