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Finding the Third Proportional to 76,355 and 164,011

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Solution

The third proportional to 76,355 and 164,011 is: 352,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,355 : 164,011 = 164,011 : x
  2. Step 2: Convert to fraction form
    76,355/164,011 = 164,011/x
  3. Step 3: Cross multiply
    76,355x = 164,011 × 164,011
  4. Step 4: Simplify right side
    76,355x = 26,899,608,121
  5. Step 5: Solve for x
    x = 26,899,608,121/76,355
  6. Step 6: Final answer
    x = 352,296.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.