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Finding the Third Proportional to 43,043 and 71,130

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Solution

The third proportional to 43,043 and 71,130 is: 117,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,043 : 71,130 = 71,130 : x
  2. Step 2: Convert to fraction form
    43,043/71,130 = 71,130/x
  3. Step 3: Cross multiply
    43,043x = 71,130 × 71,130
  4. Step 4: Simplify right side
    43,043x = 5,059,476,900
  5. Step 5: Solve for x
    x = 5,059,476,900/43,043
  6. Step 6: Final answer
    x = 117,544.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.