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Finding the Third Proportional to 80,051 and 125,570

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Solution

The third proportional to 80,051 and 125,570 is: 196,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,051 : 125,570 = 125,570 : x
  2. Step 2: Convert to fraction form
    80,051/125,570 = 125,570/x
  3. Step 3: Cross multiply
    80,051x = 125,570 × 125,570
  4. Step 4: Simplify right side
    80,051x = 15,767,824,900
  5. Step 5: Solve for x
    x = 15,767,824,900/80,051
  6. Step 6: Final answer
    x = 196,972.24

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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.