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Finding the Third Proportional to 41,535 and 85,509

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Solution

The third proportional to 41,535 and 85,509 is: 176,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,535 : 85,509 = 85,509 : x
  2. Step 2: Convert to fraction form
    41,535/85,509 = 85,509/x
  3. Step 3: Cross multiply
    41,535x = 85,509 × 85,509
  4. Step 4: Simplify right side
    41,535x = 7,311,789,081
  5. Step 5: Solve for x
    x = 7,311,789,081/41,535
  6. Step 6: Final answer
    x = 176,039.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.