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Finding the Third Proportional to 49,389 and 107,166

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Solution

The third proportional to 49,389 and 107,166 is: 232,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389 : 107,166 = 107,166 : x
  2. Step 2: Convert to fraction form
    49,389/107,166 = 107,166/x
  3. Step 3: Cross multiply
    49,389x = 107,166 × 107,166
  4. Step 4: Simplify right side
    49,389x = 11,484,551,556
  5. Step 5: Solve for x
    x = 11,484,551,556/49,389
  6. Step 6: Final answer
    x = 232,532.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.