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Finding the Third Proportional to 50,840 and 79,072

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Solution

The third proportional to 50,840 and 79,072 is: 122,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,840 : 79,072 = 79,072 : x
  2. Step 2: Convert to fraction form
    50,840/79,072 = 79,072/x
  3. Step 3: Cross multiply
    50,840x = 79,072 × 79,072
  4. Step 4: Simplify right side
    50,840x = 6,252,381,184
  5. Step 5: Solve for x
    x = 6,252,381,184/50,840
  6. Step 6: Final answer
    x = 122,981.53

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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.