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Finding the Third Proportional to 76,208 and 165,136

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Solution

The third proportional to 76,208 and 165,136 is: 357,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208 : 165,136 = 165,136 : x
  2. Step 2: Convert to fraction form
    76,208/165,136 = 165,136/x
  3. Step 3: Cross multiply
    76,208x = 165,136 × 165,136
  4. Step 4: Simplify right side
    76,208x = 27,269,898,496
  5. Step 5: Solve for x
    x = 27,269,898,496/76,208
  6. Step 6: Final answer
    x = 357,835.12

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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.