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Finding the Third Proportional to 80,282 and 125,020

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Solution

The third proportional to 80,282 and 125,020 is: 194,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,282 : 125,020 = 125,020 : x
  2. Step 2: Convert to fraction form
    80,282/125,020 = 125,020/x
  3. Step 3: Cross multiply
    80,282x = 125,020 × 125,020
  4. Step 4: Simplify right side
    80,282x = 15,630,000,400
  5. Step 5: Solve for x
    x = 15,630,000,400/80,282
  6. Step 6: Final answer
    x = 194,688.73

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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.