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Finding the Third Proportional to 50,602 and 72,884

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Solution

The third proportional to 50,602 and 72,884 is: 104,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,602 : 72,884 = 72,884 : x
  2. Step 2: Convert to fraction form
    50,602/72,884 = 72,884/x
  3. Step 3: Cross multiply
    50,602x = 72,884 × 72,884
  4. Step 4: Simplify right side
    50,602x = 5,312,077,456
  5. Step 5: Solve for x
    x = 5,312,077,456/50,602
  6. Step 6: Final answer
    x = 104,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.