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Finding the Third Proportional to 87,356 and 189,544

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Solution

The third proportional to 87,356 and 189,544 is: 411,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356 : 189,544 = 189,544 : x
  2. Step 2: Convert to fraction form
    87,356/189,544 = 189,544/x
  3. Step 3: Cross multiply
    87,356x = 189,544 × 189,544
  4. Step 4: Simplify right side
    87,356x = 35,926,927,936
  5. Step 5: Solve for x
    x = 35,926,927,936/87,356
  6. Step 6: Final answer
    x = 411,270.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.