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Finding the Third Proportional to 86,877 and 189,720

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Solution

The third proportional to 86,877 and 189,720 is: 414,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,877 : 189,720 = 189,720 : x
  2. Step 2: Convert to fraction form
    86,877/189,720 = 189,720/x
  3. Step 3: Cross multiply
    86,877x = 189,720 × 189,720
  4. Step 4: Simplify right side
    86,877x = 35,993,678,400
  5. Step 5: Solve for x
    x = 35,993,678,400/86,877
  6. Step 6: Final answer
    x = 414,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.