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Finding the Third Proportional to 50,838 and 76,657

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Solution

The third proportional to 50,838 and 76,657 is: 115,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,838 : 76,657 = 76,657 : x
  2. Step 2: Convert to fraction form
    50,838/76,657 = 76,657/x
  3. Step 3: Cross multiply
    50,838x = 76,657 × 76,657
  4. Step 4: Simplify right side
    50,838x = 5,876,295,649
  5. Step 5: Solve for x
    x = 5,876,295,649/50,838
  6. Step 6: Final answer
    x = 115,588.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.