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Finding the Third Proportional to 50,220 and 80,271

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Solution

The third proportional to 50,220 and 80,271 is: 128,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 80,271 = 80,271 : x
  2. Step 2: Convert to fraction form
    50,220/80,271 = 80,271/x
  3. Step 3: Cross multiply
    50,220x = 80,271 × 80,271
  4. Step 4: Simplify right side
    50,220x = 6,443,433,441
  5. Step 5: Solve for x
    x = 6,443,433,441/50,220
  6. Step 6: Final answer
    x = 128,304.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.