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Finding the Third Proportional to 49,216 and 115,247

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Solution

The third proportional to 49,216 and 115,247 is: 269,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216 : 115,247 = 115,247 : x
  2. Step 2: Convert to fraction form
    49,216/115,247 = 115,247/x
  3. Step 3: Cross multiply
    49,216x = 115,247 × 115,247
  4. Step 4: Simplify right side
    49,216x = 13,281,871,009
  5. Step 5: Solve for x
    x = 13,281,871,009/49,216
  6. Step 6: Final answer
    x = 269,868.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.