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Finding the Third Proportional to 43,189 and 94,459

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Solution

The third proportional to 43,189 and 94,459 is: 206,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,189 : 94,459 = 94,459 : x
  2. Step 2: Convert to fraction form
    43,189/94,459 = 94,459/x
  3. Step 3: Cross multiply
    43,189x = 94,459 × 94,459
  4. Step 4: Simplify right side
    43,189x = 8,922,502,681
  5. Step 5: Solve for x
    x = 8,922,502,681/43,189
  6. Step 6: Final answer
    x = 206,592.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.