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Finding the Third Proportional to 49,216 and 115,542

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Solution

The third proportional to 49,216 and 115,542 is: 271,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216 : 115,542 = 115,542 : x
  2. Step 2: Convert to fraction form
    49,216/115,542 = 115,542/x
  3. Step 3: Cross multiply
    49,216x = 115,542 × 115,542
  4. Step 4: Simplify right side
    49,216x = 13,349,953,764
  5. Step 5: Solve for x
    x = 13,349,953,764/49,216
  6. Step 6: Final answer
    x = 271,252.31

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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.