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Finding the Third Proportional to 43,504 and 69,143

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Solution

The third proportional to 43,504 and 69,143 is: 109,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,504 : 69,143 = 69,143 : x
  2. Step 2: Convert to fraction form
    43,504/69,143 = 69,143/x
  3. Step 3: Cross multiply
    43,504x = 69,143 × 69,143
  4. Step 4: Simplify right side
    43,504x = 4,780,754,449
  5. Step 5: Solve for x
    x = 4,780,754,449/43,504
  6. Step 6: Final answer
    x = 109,892.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.