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Finding the Third Proportional to 41,653 and 90,701

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Solution

The third proportional to 41,653 and 90,701 is: 197,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653 : 90,701 = 90,701 : x
  2. Step 2: Convert to fraction form
    41,653/90,701 = 90,701/x
  3. Step 3: Cross multiply
    41,653x = 90,701 × 90,701
  4. Step 4: Simplify right side
    41,653x = 8,226,671,401
  5. Step 5: Solve for x
    x = 8,226,671,401/41,653
  6. Step 6: Final answer
    x = 197,504.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.