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Finding the Third Proportional to 44,661 and 95,797

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Solution

The third proportional to 44,661 and 95,797 is: 205,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,661 : 95,797 = 95,797 : x
  2. Step 2: Convert to fraction form
    44,661/95,797 = 95,797/x
  3. Step 3: Cross multiply
    44,661x = 95,797 × 95,797
  4. Step 4: Simplify right side
    44,661x = 9,177,065,209
  5. Step 5: Solve for x
    x = 9,177,065,209/44,661
  6. Step 6: Final answer
    x = 205,482.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.