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Finding the Third Proportional to 50,415 and 75,609

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Solution

The third proportional to 50,415 and 75,609 is: 113,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,415 : 75,609 = 75,609 : x
  2. Step 2: Convert to fraction form
    50,415/75,609 = 75,609/x
  3. Step 3: Cross multiply
    50,415x = 75,609 × 75,609
  4. Step 4: Simplify right side
    50,415x = 5,716,720,881
  5. Step 5: Solve for x
    x = 5,716,720,881/50,415
  6. Step 6: Final answer
    x = 113,393.25

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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.