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Finding the Third Proportional to 43,605 and 94,182

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Solution

The third proportional to 43,605 and 94,182 is: 203,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 94,182 = 94,182 : x
  2. Step 2: Convert to fraction form
    43,605/94,182 = 94,182/x
  3. Step 3: Cross multiply
    43,605x = 94,182 × 94,182
  4. Step 4: Simplify right side
    43,605x = 8,870,249,124
  5. Step 5: Solve for x
    x = 8,870,249,124/43,605
  6. Step 6: Final answer
    x = 203,422.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.