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Finding the Third Proportional to 50,516 and 79,251

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Solution

The third proportional to 50,516 and 79,251 is: 124,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,516 : 79,251 = 79,251 : x
  2. Step 2: Convert to fraction form
    50,516/79,251 = 79,251/x
  3. Step 3: Cross multiply
    50,516x = 79,251 × 79,251
  4. Step 4: Simplify right side
    50,516x = 6,280,721,001
  5. Step 5: Solve for x
    x = 6,280,721,001/50,516
  6. Step 6: Final answer
    x = 124,331.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.