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Finding the Third Proportional to 42,964 and 95,144

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Solution

The third proportional to 42,964 and 95,144 is: 210,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,964 : 95,144 = 95,144 : x
  2. Step 2: Convert to fraction form
    42,964/95,144 = 95,144/x
  3. Step 3: Cross multiply
    42,964x = 95,144 × 95,144
  4. Step 4: Simplify right side
    42,964x = 9,052,380,736
  5. Step 5: Solve for x
    x = 9,052,380,736/42,964
  6. Step 6: Final answer
    x = 210,696.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.