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Finding the Third Proportional to 125,986 and 189,549

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Solution

The third proportional to 125,986 and 189,549 is: 285,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,986 : 189,549 = 189,549 : x
  2. Step 2: Convert to fraction form
    125,986/189,549 = 189,549/x
  3. Step 3: Cross multiply
    125,986x = 189,549 × 189,549
  4. Step 4: Simplify right side
    125,986x = 35,928,823,401
  5. Step 5: Solve for x
    x = 35,928,823,401/125,986
  6. Step 6: Final answer
    x = 285,181.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.