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Finding the Third Proportional to 116,574.75 and 177,136.88

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Solution

The third proportional to 116,574.75 and 177,136.88 is: 269,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,574.75 : 177,136.88 = 177,136.88 : x
  2. Step 2: Convert to fraction form
    116,574.75/177,136.88 = 177,136.88/x
  3. Step 3: Cross multiply
    116,574.75x = 177,136.88 × 177,136.88
  4. Step 4: Simplify right side
    116,574.75x = 31,377,472,484.77
  5. Step 5: Solve for x
    x = 31,377,472,484.77/116,574.75
  6. Step 6: Final answer
    x = 269,161.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.