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Finding the Third Proportional to 55,106 and 119,556

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Solution

The third proportional to 55,106 and 119,556 is: 259,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106 : 119,556 = 119,556 : x
  2. Step 2: Convert to fraction form
    55,106/119,556 = 119,556/x
  3. Step 3: Cross multiply
    55,106x = 119,556 × 119,556
  4. Step 4: Simplify right side
    55,106x = 14,293,637,136
  5. Step 5: Solve for x
    x = 14,293,637,136/55,106
  6. Step 6: Final answer
    x = 259,384.41

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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.