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Finding the Third Proportional to 87,454 and 187,356

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Solution

The third proportional to 87,454 and 187,356 is: 401,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,454 : 187,356 = 187,356 : x
  2. Step 2: Convert to fraction form
    87,454/187,356 = 187,356/x
  3. Step 3: Cross multiply
    87,454x = 187,356 × 187,356
  4. Step 4: Simplify right side
    87,454x = 35,102,270,736
  5. Step 5: Solve for x
    x = 35,102,270,736/87,454
  6. Step 6: Final answer
    x = 401,379.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.