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Finding the Third Proportional to 78,821 and 93,401

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Solution

The third proportional to 78,821 and 93,401 is: 110,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821 : 93,401 = 93,401 : x
  2. Step 2: Convert to fraction form
    78,821/93,401 = 93,401/x
  3. Step 3: Cross multiply
    78,821x = 93,401 × 93,401
  4. Step 4: Simplify right side
    78,821x = 8,723,746,801
  5. Step 5: Solve for x
    x = 8,723,746,801/78,821
  6. Step 6: Final answer
    x = 110,677.95

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.