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Finding the Third Proportional to 106,048 and 234,176

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Solution

The third proportional to 106,048 and 234,176 is: 517,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048 : 234,176 = 234,176 : x
  2. Step 2: Convert to fraction form
    106,048/234,176 = 234,176/x
  3. Step 3: Cross multiply
    106,048x = 234,176 × 234,176
  4. Step 4: Simplify right side
    106,048x = 54,838,398,976
  5. Step 5: Solve for x
    x = 54,838,398,976/106,048
  6. Step 6: Final answer
    x = 517,109.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.