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Finding the Third Proportional to 118,462 and 169,401

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Solution

The third proportional to 118,462 and 169,401 is: 242,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,462 : 169,401 = 169,401 : x
  2. Step 2: Convert to fraction form
    118,462/169,401 = 169,401/x
  3. Step 3: Cross multiply
    118,462x = 169,401 × 169,401
  4. Step 4: Simplify right side
    118,462x = 28,696,698,801
  5. Step 5: Solve for x
    x = 28,696,698,801/118,462
  6. Step 6: Final answer
    x = 242,243.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.