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Finding the Third Proportional to 87,573 and 127,530

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Solution

The third proportional to 87,573 and 127,530 is: 185,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,573 : 127,530 = 127,530 : x
  2. Step 2: Convert to fraction form
    87,573/127,530 = 127,530/x
  3. Step 3: Cross multiply
    87,573x = 127,530 × 127,530
  4. Step 4: Simplify right side
    87,573x = 16,263,900,900
  5. Step 5: Solve for x
    x = 16,263,900,900/87,573
  6. Step 6: Final answer
    x = 185,718.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.