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Finding the Third Proportional to 50,641 and 78,609

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Solution

The third proportional to 50,641 and 78,609 is: 122,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641 : 78,609 = 78,609 : x
  2. Step 2: Convert to fraction form
    50,641/78,609 = 78,609/x
  3. Step 3: Cross multiply
    50,641x = 78,609 × 78,609
  4. Step 4: Simplify right side
    50,641x = 6,179,374,881
  5. Step 5: Solve for x
    x = 6,179,374,881/50,641
  6. Step 6: Final answer
    x = 122,023.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.