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Finding the Third Proportional to 43,661 and 95,495

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Solution

The third proportional to 43,661 and 95,495 is: 208,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661 : 95,495 = 95,495 : x
  2. Step 2: Convert to fraction form
    43,661/95,495 = 95,495/x
  3. Step 3: Cross multiply
    43,661x = 95,495 × 95,495
  4. Step 4: Simplify right side
    43,661x = 9,119,295,025
  5. Step 5: Solve for x
    x = 9,119,295,025/43,661
  6. Step 6: Final answer
    x = 208,865.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.