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Finding the Third Proportional to 45,630 and 106,011

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Solution

The third proportional to 45,630 and 106,011 is: 246,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 106,011 = 106,011 : x
  2. Step 2: Convert to fraction form
    45,630/106,011 = 106,011/x
  3. Step 3: Cross multiply
    45,630x = 106,011 × 106,011
  4. Step 4: Simplify right side
    45,630x = 11,238,332,121
  5. Step 5: Solve for x
    x = 11,238,332,121/45,630
  6. Step 6: Final answer
    x = 246,292.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.