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Finding the Third Proportional to 76,780 and 166,136

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Solution

The third proportional to 76,780 and 166,136 is: 359,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780 : 166,136 = 166,136 : x
  2. Step 2: Convert to fraction form
    76,780/166,136 = 166,136/x
  3. Step 3: Cross multiply
    76,780x = 166,136 × 166,136
  4. Step 4: Simplify right side
    76,780x = 27,601,170,496
  5. Step 5: Solve for x
    x = 27,601,170,496/76,780
  6. Step 6: Final answer
    x = 359,483.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.