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Finding the Third Proportional to 83,560 and 197,182

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Solution

The third proportional to 83,560 and 197,182 is: 465,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,560 : 197,182 = 197,182 : x
  2. Step 2: Convert to fraction form
    83,560/197,182 = 197,182/x
  3. Step 3: Cross multiply
    83,560x = 197,182 × 197,182
  4. Step 4: Simplify right side
    83,560x = 38,880,741,124
  5. Step 5: Solve for x
    x = 38,880,741,124/83,560
  6. Step 6: Final answer
    x = 465,303.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.