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Finding the Third Proportional to 42,841.50 and 95,619

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Solution

The third proportional to 42,841.50 and 95,619 is: 213,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,841.50 : 95,619 = 95,619 : x
  2. Step 2: Convert to fraction form
    42,841.50/95,619 = 95,619/x
  3. Step 3: Cross multiply
    42,841.50x = 95,619 × 95,619
  4. Step 4: Simplify right side
    42,841.50x = 9,142,993,161
  5. Step 5: Solve for x
    x = 9,142,993,161/42,841.50
  6. Step 6: Final answer
    x = 213,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.