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Finding the Third Proportional to 86,092 and 189,583

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Solution

The third proportional to 86,092 and 189,583 is: 417,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,092 : 189,583 = 189,583 : x
  2. Step 2: Convert to fraction form
    86,092/189,583 = 189,583/x
  3. Step 3: Cross multiply
    86,092x = 189,583 × 189,583
  4. Step 4: Simplify right side
    86,092x = 35,941,713,889
  5. Step 5: Solve for x
    x = 35,941,713,889/86,092
  6. Step 6: Final answer
    x = 417,480.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.