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Finding the Third Proportional to 87,471 and 137,052

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Solution

The third proportional to 87,471 and 137,052 is: 214,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471 : 137,052 = 137,052 : x
  2. Step 2: Convert to fraction form
    87,471/137,052 = 137,052/x
  3. Step 3: Cross multiply
    87,471x = 137,052 × 137,052
  4. Step 4: Simplify right side
    87,471x = 18,783,250,704
  5. Step 5: Solve for x
    x = 18,783,250,704/87,471
  6. Step 6: Final answer
    x = 214,736.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.