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Finding the Third Proportional to 41,759 and 73,597

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Solution

The third proportional to 41,759 and 73,597 is: 129,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,759 : 73,597 = 73,597 : x
  2. Step 2: Convert to fraction form
    41,759/73,597 = 73,597/x
  3. Step 3: Cross multiply
    41,759x = 73,597 × 73,597
  4. Step 4: Simplify right side
    41,759x = 5,416,518,409
  5. Step 5: Solve for x
    x = 5,416,518,409/41,759
  6. Step 6: Final answer
    x = 129,709.01

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.