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Finding the Third Proportional to 122,598 and 189,911

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Solution

The third proportional to 122,598 and 189,911 is: 294,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598 : 189,911 = 189,911 : x
  2. Step 2: Convert to fraction form
    122,598/189,911 = 189,911/x
  3. Step 3: Cross multiply
    122,598x = 189,911 × 189,911
  4. Step 4: Simplify right side
    122,598x = 36,066,187,921
  5. Step 5: Solve for x
    x = 36,066,187,921/122,598
  6. Step 6: Final answer
    x = 294,182.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.