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Finding the Third Proportional to 89,747 and 140,799

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Solution

The third proportional to 89,747 and 140,799 is: 220,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,747 : 140,799 = 140,799 : x
  2. Step 2: Convert to fraction form
    89,747/140,799 = 140,799/x
  3. Step 3: Cross multiply
    89,747x = 140,799 × 140,799
  4. Step 4: Simplify right side
    89,747x = 19,824,358,401
  5. Step 5: Solve for x
    x = 19,824,358,401/89,747
  6. Step 6: Final answer
    x = 220,891.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.