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Finding the Third Proportional to 87,740 and 125,052

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Solution

The third proportional to 87,740 and 125,052 is: 178,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,740 : 125,052 = 125,052 : x
  2. Step 2: Convert to fraction form
    87,740/125,052 = 125,052/x
  3. Step 3: Cross multiply
    87,740x = 125,052 × 125,052
  4. Step 4: Simplify right side
    87,740x = 15,638,002,704
  5. Step 5: Solve for x
    x = 15,638,002,704/87,740
  6. Step 6: Final answer
    x = 178,231.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.