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Finding the Third Proportional to 81,108 and 119,556

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Solution

The third proportional to 81,108 and 119,556 is: 176,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,108 : 119,556 = 119,556 : x
  2. Step 2: Convert to fraction form
    81,108/119,556 = 119,556/x
  3. Step 3: Cross multiply
    81,108x = 119,556 × 119,556
  4. Step 4: Simplify right side
    81,108x = 14,293,637,136
  5. Step 5: Solve for x
    x = 14,293,637,136/81,108
  6. Step 6: Final answer
    x = 176,229.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.