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Finding the Third Proportional to 88,270 and 189,172

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Solution

The third proportional to 88,270 and 189,172 is: 405,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,270 : 189,172 = 189,172 : x
  2. Step 2: Convert to fraction form
    88,270/189,172 = 189,172/x
  3. Step 3: Cross multiply
    88,270x = 189,172 × 189,172
  4. Step 4: Simplify right side
    88,270x = 35,786,045,584
  5. Step 5: Solve for x
    x = 35,786,045,584/88,270
  6. Step 6: Final answer
    x = 405,415.72

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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.