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Finding the Third Proportional to 43,015 and 89,972

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Solution

The third proportional to 43,015 and 89,972 is: 188,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,015 : 89,972 = 89,972 : x
  2. Step 2: Convert to fraction form
    43,015/89,972 = 89,972/x
  3. Step 3: Cross multiply
    43,015x = 89,972 × 89,972
  4. Step 4: Simplify right side
    43,015x = 8,094,960,784
  5. Step 5: Solve for x
    x = 8,094,960,784/43,015
  6. Step 6: Final answer
    x = 188,189.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.