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Finding the Third Proportional to 49,609 and 74,526

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Solution

The third proportional to 49,609 and 74,526 is: 111,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609 : 74,526 = 74,526 : x
  2. Step 2: Convert to fraction form
    49,609/74,526 = 74,526/x
  3. Step 3: Cross multiply
    49,609x = 74,526 × 74,526
  4. Step 4: Simplify right side
    49,609x = 5,554,124,676
  5. Step 5: Solve for x
    x = 5,554,124,676/49,609
  6. Step 6: Final answer
    x = 111,958.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.