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Finding the Third Proportional to 49,218 and 115,549

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Solution

The third proportional to 49,218 and 115,549 is: 271,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218 : 115,549 = 115,549 : x
  2. Step 2: Convert to fraction form
    49,218/115,549 = 115,549/x
  3. Step 3: Cross multiply
    49,218x = 115,549 × 115,549
  4. Step 4: Simplify right side
    49,218x = 13,351,571,401
  5. Step 5: Solve for x
    x = 13,351,571,401/49,218
  6. Step 6: Final answer
    x = 271,274.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.