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Finding the Third Proportional to 50,850 and 79,373

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Solution

The third proportional to 50,850 and 79,373 is: 123,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,850 : 79,373 = 79,373 : x
  2. Step 2: Convert to fraction form
    50,850/79,373 = 79,373/x
  3. Step 3: Cross multiply
    50,850x = 79,373 × 79,373
  4. Step 4: Simplify right side
    50,850x = 6,300,073,129
  5. Step 5: Solve for x
    x = 6,300,073,129/50,850
  6. Step 6: Final answer
    x = 123,895.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.