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Finding the Third Proportional to 50,609 and 75,639

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Solution

The third proportional to 50,609 and 75,639 is: 113,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,609 : 75,639 = 75,639 : x
  2. Step 2: Convert to fraction form
    50,609/75,639 = 75,639/x
  3. Step 3: Cross multiply
    50,609x = 75,639 × 75,639
  4. Step 4: Simplify right side
    50,609x = 5,721,258,321
  5. Step 5: Solve for x
    x = 5,721,258,321/50,609
  6. Step 6: Final answer
    x = 113,048.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.